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Table of contents (25 chapters)
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Non-Associative and Non-Commutative Structures for Physics
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Non-Commutative Deformations, Quantization, Homological Methods, and Representations
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Groups and Actions
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Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras
Keywords
About this book
The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
This volume is devoted to the interplay between several rapidly expanding research fields in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond.
The book will be a useful source of inspiration for a broad spectrum of researchers and for research students, and includes contributions from several large research communities in modern mathematics and physics.
This volume consists of 5 parts comprising 25 chapters, which were contributed by 32 researchers from 12 different countries. All contributions in the volume have been refereed.
Editors and Affiliations
Bibliographic Information
Book Title: Generalized Lie Theory in Mathematics, Physics and Beyond
Editors: Sergei Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin
DOI: https://doi.org/10.1007/978-3-540-85332-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-540-85331-2Published: 12 November 2008
Softcover ISBN: 978-3-642-09904-5Published: 19 October 2010
eBook ISBN: 978-3-540-85332-9Published: 18 November 2008
Edition Number: 1
Number of Pages: XVIII, 306
Number of Illustrations: 3 b/w illustrations
Topics: Algebra, Topological Groups, Lie Groups, Theoretical, Mathematical and Computational Physics