Structural Lie
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Structural Lie
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Author : Charles C. Lemert
language : en
Publisher: Routledge
Release Date : 2015-12-22
Structural Lie written by Charles C. Lemert and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-22 with Social Science categories.
The Structural Lie tackles one of social science's most mysterious problems. How is it possible to derive statements about the grand structures of social life from their effects in the small movements of everyday life? Prominent sociologist Charles Lemert shows how Marx and Freud provide some answers to this question. Marx derived from the commodity his picture of the capitalist system, Freud diagnosed the character of psyches from the details of dreams, slips and jokes. This wonderfully readable and engaging book lays the foundation for a new social science in an age where a microchip can convey a world of information.
Lie S Structural Approach To Pde Systems
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Author : Olle Stormark
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-15
Lie S Structural Approach To Pde Systems written by Olle Stormark and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-15 with Mathematics categories.
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme 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.
Structure And Geometry Of Lie Groups
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Author : Joachim Hilgert
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-06
Structure And Geometry Of Lie Groups written by Joachim Hilgert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-06 with Mathematics categories.
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.
The Structure Of Lie Groups
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Author : Gerhard Paul Hochschild
language : en
Publisher:
Release Date : 1965
The Structure Of Lie Groups written by Gerhard Paul Hochschild and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Lie algebras categories.
The Structure Of Complex Lie Groups
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Author : Dong Hoon Lee
language : en
Publisher: CRC Press
Release Date : 2001-08-31
The Structure Of Complex Lie Groups written by Dong Hoon Lee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Mathematics categories.
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts
A Guide To Lie Systems With Compatible Geometric Structures
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Author : Javier De Lucas Araujo
language : en
Publisher: World Scientific
Release Date : 2020-01-22
A Guide To Lie Systems With Compatible Geometric Structures written by Javier De Lucas Araujo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-22 with Mathematics categories.
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Jordan Structures In Lie Algebras
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Author : Antonio Fernández López
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-19
Jordan Structures In Lie Algebras written by Antonio Fernández López and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-19 with Jordan algebras categories.
Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebras, the book then explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself.
The Geometry Of Jordan And Lie Structures
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Author : Wolfgang Bertram
language : en
Publisher: Springer
Release Date : 2003-07-01
The Geometry Of Jordan And Lie Structures written by Wolfgang Bertram and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.
Lie Groups And Lie Algebras Iii
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Author : A.L. Onishchik
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-07-12
Lie Groups And Lie Algebras Iii written by A.L. Onishchik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-12 with Mathematics categories.
A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.
Lie Algebras And Related Topics
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Author : Daniel J. Britten
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Lie Algebras And Related Topics written by Daniel J. Britten and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
As the Proceedings of the 1984 Canadian Mathematical Society's Summer Seminar, this book focuses on some advances in the theory of semisimple Lie algebras and some direct outgrowths of that theory. The following papers are of particular interest: an important survey article by R. Block and R. Wilson on restricted simple Lie algebras, a survey of universal enveloping algebras of semisimple Lie algebras by W. Borho, a course on Kac-Moody Lie algebras by I. G. Macdonald with an extensive bibliography of this field by Georgia Benkart, and a course on formal groups by M. Hazewinkel. Because of the expository surveys and courses, the book will be especially useful to graduate students in Lie theory, as well as to researchers in the field.
