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1000 tulosta hakusanalla Lie Oka

Lie's Structural Approach to PDE Systems

Lie's Structural Approach to PDE Systems

Olle Stormark

Cambridge University Press
2000
sidottu
This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
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Lie Algebras of Finite and Affine Type

Lie Algebras of Finite and Affine Type

Roger Carter

Cambridge University Press
2005
sidottu
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type.
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Lie Groups, Physics, and Geometry

Lie Groups, Physics, and Geometry

Robert Gilmore

Cambridge University Press
2008
sidottu
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
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Lie Still

Lie Still

Julia Heaberlin

Faber Faber
2016
nidottu
'I never told anyone about the letters. It was another of my secrets, one that would . . . lead to places I don't want to go again.' When Emily and her husband move to Clairmont, Texas, they believe that it's the perfect place to build a new life. At a prestigious party, she meets a group of rich and influential housewives, but soon she begins to suspect that there is more to them than meets the eye. Then local doyenne Caroline disappears and Emily receives a host of threatening letters. Is Emily's troubled past coming back to haunt her, or is something sinister happening in this peaceful town?
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Lie, Cheat, and Genuflect

Lie, Cheat, and Genuflect

Billy Van Zandt; Jane Milmore

Samuel French, Inc.
2020
pokkari
The Buckle brothers Billy and Tom are in big trouble: Tom's infallible eye for slow horses has drained away all of Billy's savings and he has borrowed from loan shark Pizza Face Petrillo who now wants his money back or else! Involve a stuffy young lawyer a hard drinking man hungry housekeeper and a trio of beautiful young women and you have the recipe for a laugh packed farce of twists turns puns and pratfalls as Tom strives mightily to compensate for Billy's "habitual" errors.
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Lie Zombie Lie

Lie Zombie Lie

Jack Wallen

Autumnal Press
2012
nidottu
The I Zombie series continues Bethany Nitshimi is back and this time she has motherhood on her side. The creators of the Mengele Virus, the Zero Day Collective, continue to beat down the human race in order to reboot mankind. This time, however, the redhead badass with enough brain to feed the entire zombie horde has a new crew on her side. Along with the Zombie Response Team, a tween wrecking machine, a fellow elite hacker, and an attitude prepared to take on the zombie nation, Bethany Nitshimi uses every trick in her post-apocalyptic book to fight back the new and improved horrors that await her on the other side of Hell.
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Lie Down in Darkness

Lie Down in Darkness

William Styron

VINTAGE
1992
nidottu
William Styron traces the betrayals and infidelities--the heritage of spite and endlessly disappointed love--that afflict the members of a Southern family and that culminate in the suicide of the beautiful Peyton Loftis.
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Lie Equations, Vol. I

Lie Equations, Vol. I

Antonio Kumpera; Donald Clayton Spencer

Princeton University Press
1972
pokkari
In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.
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Lie Groups, Lie Algebras, and Cohomology

Lie Groups, Lie Algebras, and Cohomology

Anthony W. Knapp

Princeton University Press
1988
pokkari
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
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Lie Algebras In Particle Physics

Lie Algebras In Particle Physics

Howard Georgi

Westview Press Inc
1999
pokkari
Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.
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Lie By Moonlight

Lie By Moonlight

Amanda Quick

Piatkus Books
2006
pokkari
During an investigation into a woman's death, gentleman thief turned private inquiry agent Ambrose Wells finds himself at Aldwick Castle - and in the middle of chaos. The building is in flames. Men are dead. And a woman and four young girls are fleeing on horseback. A confirmed loner, Ambrose nevertheless finds himself taking Miss Concordia Glade and her young charges under his wing. With their lives at risk, he insists they must remain in hiding until he is able to unravel the truth behind their recent imprisonment at the castle. Concordia has never met anyone like Ambrose Wells before. He is bold, clever, and inscrutable - even to the perceptive gaze of a professional teacher such as herself. He is also her only hope to protect her pupils from the unscrupulous men who are after them - powerful, shadowy figures who will stop at nothing to get what they want.
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Lie to Me

Lie to Me

J. T. Ellison

MIRA BOOKS
2017
nidottu
Domestic noir at its best. Readers will devour this stunning page-turner about the disintegration of a marriage as grief, jealousy, betrayal and murder destroy the facade of the perfect literary couple. New York Times bestselling author J.T. Ellison takes her exceptional writing to a new level with this breakout novel.They built a life on liesSutton and Ethan Montclair's idyllic life is not as it appears. They seem made for each other, but the truth is ugly. Consumed by professional and personal betrayals and financial woes, the two both love and hate each other. As tensions mount, Sutton disappears, leaving behind a note saying not to look for her.Ethan finds himself the target of vicious gossip as friends, family and the media speculate on what really happened to Sutton Montclair. As the police investigate, the lies the couple have been spinning for years quickly unravel. Is Ethan a killer? Is he being set up? Did Sutton hate him enough to kill the child she never wanted and then herself? The path to the answers is full of twists that will leave the reader breathless.Don't miss It's One of Us, the next page-turning thriller from New York Times bestselling author J.T. Ellison
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Lie Detectors

Lie Detectors

Kerry Segrave

McFarland Co Inc
2003
pokkari
The polygraph, most commonly known as the lie detector, was created and refined by academics in university settings with support from a few early police agencies. This work is a history of the machine, from the experimental work of the late 1800s that led directly to its creation, until the present. It covers early lie detectors and their inventors from the 1860s to the early 1920s, their use by the police and other law enforcement agencies in the 1930s and their use in Cold War America in the 1940s and 1950s. It then discusses the government's use of the polygraph in the 1960s, the PSE, a new take on the old polygraph, and private businesses' reliance on the polygraph in the 1970s and the government's increasing reluctance to use it in the 1980s. A chapter on new ideas and uses for the polygraph in the 1990s and after concludes the book.
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Lie Groups and Lie Algebras

Lie Groups and Lie Algebras

Springer
1998
sidottu
This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos­ sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen­ erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations.
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Lie of the Land

Lie of the Land

Don Mitchell

University of Minnesota Press
1996
nidottu
A hard-hitting look at the story behind California's famous scenery.The beauty of the California landscape is integral to its place in the imagination of generations of people around the world. In The Lie of the Land, geographer Don Mitchell looks at the human costs associated with this famous scenery. Through an account of the labor history of the state, Mitchell examines the material and ideological struggles over living and working conditions that played a large part in the construction of the contemporary California landscape. The Lie of the Land examines the way the California landscape was built on the backs of migrant workers, focusing on migratory labor and agribusiness before World War II. The book relates the historical geography of California to the processes of labor that made it, discussing not only significant strikes but also on the everyday existence of migrant workers in the labor camps, fields, and “Hoovervilles” where they lived. Mitchell places class struggle at the heart of social development, demonstrating concretely how farm workers affected their social and material environment, as well as exploring how farm owners responded to their workers’ efforts to improve their living and working conditions. Mitchell also places “reformers” in context, revealing the actual nature of their role in relation to migrant workers’ efforts-that of undermining the struggle for genuine social change. In addition, this volume captures the significance of the changing composition of the agricultural workforce, particularly in racial terms, as the class struggle evolved over a period of decades. Mitchell has written a narrative history that describes the intimate connection between landscape representations and the material form of geography. The Lie of the Land places people squarely in the middle of the landscapes they inhabit, shedding light on the complex and seemingly contradictory interactions between progressive state agents, radical workers, and California growers as they seek to remake the land in their own image.
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Lie Theory

Lie Theory

Birkhauser Boston Inc
2003
sidottu
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish--Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics.
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Lie Theory

Lie Theory

Birkhauser Boston Inc
2004
sidottu
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications; and branching laws for unitary representations, i.e. restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles. Ji's introductory chapter motivates the subject of symmetric spaces and their compactifications with carefully selected examples and provides a good background for the second chapter, namely, the Borel–Ji authoritative treatment of various types of compactifications useful for studying symmetric and locally symmetric spaces. Kobayashi examines the important subject of branching laws. Knowledge of basic representation theory of Lie groups and familiarity with semisimple Lie groups and symmetric spaces is required of the reader.
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Lie Theory and Geometry

Lie Theory and Geometry

Birkhauser Boston Inc
1994
sidottu
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work.
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