Lie Groups And Algebras With Applications To Physics Geometry And Mechanics
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Lie Groups And Algebras With Applications To Physics Geometry And Mechanics
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Author : D.H. Sattinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Lie Groups And Algebras With Applications To Physics Geometry And Mechanics written by D.H. Sattinger 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 2013-11-11 with Mathematics categories.
This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.
Lie Groups And Algebras With Applications To Physics Geometry And Mechanics
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Author : D. H. Sattinger
language : en
Publisher:
Release Date : 2014-01-15
Lie Groups And Algebras With Applications To Physics Geometry And Mechanics written by D. H. Sattinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Lie Groups And Algebras With Applications To Physics Geometry And Mechanics
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Author : David H. Sattinger
language : en
Publisher:
Release Date : 1986-01-01
Lie Groups And Algebras With Applications To Physics Geometry And Mechanics written by David H. Sattinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Lie algebras categories.
Lie Groups Lie Algebras Cohomology And Some Applications In Physics
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Author : Josi A. de Azcárraga
language : en
Publisher: Cambridge University Press
Release Date : 1998-08-06
Lie Groups Lie Algebras Cohomology And Some Applications In Physics written by Josi A. de Azcárraga 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 1998-08-06 with Mathematics categories.
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
A Survey Of Lie Groups And Lie Algebras With Applications And Computational Methods
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Author : Johan G. F. Belinfante
language : en
Publisher: SIAM
Release Date : 1989-01-01
A Survey Of Lie Groups And Lie Algebras With Applications And Computational Methods written by Johan G. F. Belinfante and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.
Lie Groups Physics And Geometry
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Author : Robert Gilmore
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17
Lie Groups Physics And Geometry written by Robert Gilmore 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 2008-01-17 with Science categories.
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.
Classical And Quantum Mechanics With Lie Algebras
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Author : Yair Shapira
language : en
Publisher: World Scientific
Release Date : 2021-07-19
Classical And Quantum Mechanics With Lie Algebras written by Yair Shapira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Science categories.
How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics.Thanks to simple math, both classical and modern physics follow and make a complete vivid picture of physics. This is an original and unified point of view to highlighting physics from a fresh pedagogical angle.Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.The book could be used as a textbook in undergraduate courses such as Introduction to Newtonian mechanics and special relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras with applications in physics.
Lie Groups Lie Algebras And Cohomology
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Author : Anthony W. Knapp
language : en
Publisher: Princeton University Press
Release Date : 1988-05-21
Lie Groups Lie Algebras And Cohomology written by Anthony W. Knapp and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-21 with Mathematics categories.
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.
Differential Geometry And Lie Groups For Physicists
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Author : Marián Fecko
language : en
Publisher: Cambridge University Press
Release Date : 2006-10-12
Differential Geometry And Lie Groups For Physicists written by Marián Fecko 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 2006-10-12 with Science categories.
Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
Lie Groups Lie Algebras And Cohomology Mn 34 Volume 34
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Author : Anthony W. Knapp
language : en
Publisher: Princeton University Press
Release Date : 2021-01-12
Lie Groups Lie Algebras And Cohomology Mn 34 Volume 34 written by Anthony W. Knapp and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-12 with Mathematics categories.
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.