A Guide To Lie Systems With Compatible Geometric Structures

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A Guide To Lie Systems With Compatible Geometric Structures

Javier De Lucas Araujo,Cristina Sardon Munoz
A Guide To Lie Systems With Compatible Geometric Structures Book PDF

Author : Javier De Lucas Araujo,Cristina Sardon Munoz
Publisher : World Scientific
Page : 425 pages
File Size : 43,6 Mb
Release : 2020-01-22
Category : Mathematics
ISBN : 9781786346995

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A Guide To Lie Systems With Compatible Geometric Structures by Javier De Lucas Araujo,Cristina Sardon Munoz Pdf

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.

A Guide to Lie Systems with Compatible Geometric Structures

Cristina Sardón Muñoz,Javier de Lucas
A Guide to Lie Systems with Compatible Geometric Structures Book PDF

Author : Cristina Sardón Muñoz,Javier de Lucas
Publisher : Unknown
Page : 425 pages
File Size : 41,6 Mb
Release : 2019
Category : Differential equations
ISBN : 1786346982

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A Guide to Lie Systems with Compatible Geometric Structures by Cristina Sardón Muñoz,Javier de Lucas Pdf

Structure and Geometry of Lie Groups

Joachim Hilgert,Karl-Hermann Neeb
Structure and Geometry of Lie Groups Book PDF

Author : Joachim Hilgert,Karl-Hermann Neeb
Publisher : Springer Science & Business Media
Page : 742 pages
File Size : 47,8 Mb
Release : 2011-11-06
Category : Mathematics
ISBN : 9780387847948

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Structure and Geometry of Lie Groups by Joachim Hilgert,Karl-Hermann Neeb Pdf

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.

An Alternative Approach to Lie Groups and Geometric Structures

Ercüment H. Ortaçgil
An Alternative Approach to Lie Groups and Geometric Structures Book PDF

Author : Ercüment H. Ortaçgil
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2024-06-30
Category : MATHEMATICS
ISBN : 0191860956

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An Alternative Approach to Lie Groups and Geometric Structures by Ercüment H. Ortaçgil Pdf

The theory of Lie groups is one of the most important mathematical themes of the last century and belongs to the centre of modern differential geometry. Whilst the subject is well established, this book aims to be the first to approach geometric theory of Lie groups from a new perspective.

Structure and Geometry of Lie Groups

Anonim
Structure and Geometry of Lie Groups Book PDF

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2011-11-07
Category : Electronic
ISBN : 038757140X

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Structure and Geometry of Lie Groups by Anonim Pdf

Constrained Mechanics and Lie Theory

Robert Hermann
Constrained Mechanics and Lie Theory Book PDF

Author : Robert Hermann
Publisher : Math-Sci Press
Page : 288 pages
File Size : 41,6 Mb
Release : 1992
Category : Mathematics
ISBN : 0915692430

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Constrained Mechanics and Lie Theory by Robert Hermann Pdf

Developments and Retrospectives in Lie Theory

Geoffrey Mason,Ivan Penkov,Joseph A. Wolf
Developments and Retrospectives in Lie Theory Book PDF

Author : Geoffrey Mason,Ivan Penkov,Joseph A. Wolf
Publisher : Springer
Page : 274 pages
File Size : 45,9 Mb
Release : 2014-11-12
Category : Mathematics
ISBN : 9783319099347

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Developments and Retrospectives in Lie Theory by Geoffrey Mason,Ivan Penkov,Joseph A. Wolf Pdf

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

The Structure of Complex Lie Groups

Dong Hoon Lee
The Structure of Complex Lie Groups Book PDF

Author : Dong Hoon Lee
Publisher : CRC Press
Page : 229 pages
File Size : 53,6 Mb
Release : 2001-08-31
Category : Mathematics
ISBN : 9781420035452

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The Structure of Complex Lie Groups by Dong Hoon Lee Pdf

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

Lie Groups and Lie Algebras III

A.L. Onishchik,E.B. Vinberg
Lie Groups and Lie Algebras III Book PDF

Author : A.L. Onishchik,E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 46,9 Mb
Release : 1994-07-12
Category : Mathematics
ISBN : 3540546839

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Lie Groups and Lie Algebras III by A.L. Onishchik,E.B. Vinberg Pdf

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 Theory and Its Applications in Physics

Vladimir Dobrev
Lie Theory and Its Applications in Physics Book PDF

Author : Vladimir Dobrev
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 51,9 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9784431542704

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Lie Theory and Its Applications in Physics by Vladimir Dobrev Pdf

Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

Generalized Lie Theory in Mathematics, Physics and Beyond

Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin
Generalized Lie Theory in Mathematics Physics and Beyond Book PDF

Author : Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 44,5 Mb
Release : 2008-11-18
Category : Mathematics
ISBN : 9783540853329

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Generalized Lie Theory in Mathematics, Physics and Beyond by Sergei D. Silvestrov,Eugen Paal,Viktor Abramov,Alexander Stolin Pdf

This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.