Lie Algebras Geometry And Toda Type Systems
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Lie Algebras Geometry and Toda Type Systems
Author | : Alexander Vitalievich Razumov,Mikhail V. Saveliev |
Publsiher | : Cambridge University Press |
Total Pages | : 271 |
Release | : 1997-05-15 |
Genre | : Mathematics |
ISBN | : 9780521479233 |
Download Lie Algebras Geometry and Toda Type Systems Book in PDF, Epub and Kindle
The book describes integrable Toda type systems and their Lie algebra and differential geometry background.
Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models
Author | : Fritz Gesztesy,Helge Holden,Johanna Michor,Gerald Teschl |
Publsiher | : Cambridge University Press |
Total Pages | : 438 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 9781139473774 |
Download Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models Book in PDF, Epub and Kindle
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.
Proceedings of the IX International Conference on Supersymmetry and Unification of Fundamental Interactions
Author | : D. I. Kazakov,Alexei V. Gladyshev |
Publsiher | : World Scientific |
Total Pages | : 488 |
Release | : 2002 |
Genre | : Science |
ISBN | : 9810248059 |
Download Proceedings of the IX International Conference on Supersymmetry and Unification of Fundamental Interactions Book in PDF, Epub and Kindle
This book addresses the theoretical, phenomenological and experimental aspects of supersymmetry in particle physics as well as its implications in cosmology.
NonasSociative Algebra and Its Applications
Author | : R Costa,Jr., Henrique Guzzo,A. Grichkov,L.A. Peresi |
Publsiher | : CRC Press |
Total Pages | : 492 |
Release | : 2019-05-20 |
Genre | : Mathematics |
ISBN | : 9780429529993 |
Download NonasSociative Algebra and Its Applications Book in PDF, Epub and Kindle
A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Lie Theory
Author | : Jean-Philippe Anker,Bent Orsted |
Publsiher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9780817681920 |
Download Lie Theory Book in PDF, Epub and Kindle
* First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians. * Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." * Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations. * Should benefit graduate students and researchers in mathematics and mathematical physics.
Lie Groups and Lie Algebras III
Author | : A.L. Onishchik,E.B. Vinberg |
Publsiher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 1994-07-12 |
Genre | : Mathematics |
ISBN | : 3540546839 |
Download Lie Groups and Lie Algebras III Book in PDF, Epub and Kindle
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 Algebraic Groups
Author | : Patrice Tauvel,Rupert W. T. Yu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 676 |
Release | : 2005-04-25 |
Genre | : Mathematics |
ISBN | : 3540241701 |
Download Lie Algebras and Algebraic Groups Book in PDF, Epub and Kindle
Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.
Dirac Operators and Spectral Geometry
Author | : Giampiero Esposito |
Publsiher | : Cambridge University Press |
Total Pages | : 227 |
Release | : 1998-08-20 |
Genre | : Mathematics |
ISBN | : 9780521648622 |
Download Dirac Operators and Spectral Geometry Book in PDF, Epub and Kindle
A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers.