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Titlebook: Generalized Lie Theory in Mathematics, Physics and Beyond; Sergei Silvestrov,Eugen Paal,Alexander Stolin Book 2009 Springer-Verlag Berlin

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发表于 2025-3-21 17:21:35 | 显示全部楼层 |阅读模式
书目名称Generalized Lie Theory in Mathematics, Physics and Beyond
编辑Sergei Silvestrov,Eugen Paal,Alexander Stolin
视频video
概述Cutting edge content in Lie theory.Includes supplementary material:
图书封面Titlebook: Generalized Lie Theory in Mathematics, Physics and Beyond;  Sergei Silvestrov,Eugen Paal,Alexander Stolin Book 2009 Springer-Verlag Berlin
描述.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..
出版日期Book 2009
关键词Algebra; Integrable systems algebras groups; Non-associative algebras; Quasi Lie algebras; linear algebr
版次1
doihttps://doi.org/10.1007/978-3-540-85332-9
isbn_softcover978-3-642-09904-5
isbn_ebook978-3-540-85332-9
copyrightSpringer-Verlag Berlin Heidelberg 2009
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发表于 2025-3-21 20:21:52 | 显示全部楼层
https://doi.org/10.1007/978-94-017-7125-2resulting solutions of a matrix KP hierarchy determine, under a ‘rank one condition’, solutions of the scalar KP hierarchy. We extend these results to the discrete KP hierarchy. Moreover, we build a bridge from the WNA framework to the Gelfand—Dickey—Sato formulation of the KP hierarchy.
发表于 2025-3-22 00:31:53 | 显示全部楼层
https://doi.org/10.1007/978-94-017-1147-0g combinatorial problem is to construct finite orthoalgebras not admitting bivaluations. In this paper we discuss the construction of a family such examples closely related to the irreducible root systems of exceptional type.
发表于 2025-3-22 07:54:51 | 显示全部楼层
Interchangeability in Dynamic Environments,espondence between classes of .-Hom-coalgebras and .-Hom-algebras. In another hand, we provide relevant definitions and basic properties of Hom-Hopf algebras generalizing the classical Hopf algebras and define the module and comodule structure over Hom-associative algebra or Hom-coassociative coalgebra.
发表于 2025-3-22 09:51:36 | 显示全部楼层
https://doi.org/10.1007/978-1-4615-5515-5 current Lie algebras. These families are genus one (i.e. elliptic) Lie algebras of Krichever—type. In this contribution the results are reviewed. The families of algebras are given in explicit form. The constructions are induced by the geometric process of degenerating the elliptic curves to singular cubics.
发表于 2025-3-22 14:48:21 | 显示全部楼层
Weakly Nonassociative Algebras, Riccati and KP Hierarchiesresulting solutions of a matrix KP hierarchy determine, under a ‘rank one condition’, solutions of the scalar KP hierarchy. We extend these results to the discrete KP hierarchy. Moreover, we build a bridge from the WNA framework to the Gelfand—Dickey—Sato formulation of the KP hierarchy.
发表于 2025-3-22 20:00:54 | 显示全部楼层
Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanicsg combinatorial problem is to construct finite orthoalgebras not admitting bivaluations. In this paper we discuss the construction of a family such examples closely related to the irreducible root systems of exceptional type.
发表于 2025-3-23 00:36:02 | 显示全部楼层
Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebrasespondence between classes of .-Hom-coalgebras and .-Hom-algebras. In another hand, we provide relevant definitions and basic properties of Hom-Hopf algebras generalizing the classical Hopf algebras and define the module and comodule structure over Hom-associative algebra or Hom-coassociative coalgebra.
发表于 2025-3-23 03:55:01 | 显示全部楼层
Deformations of the Witt, Virasoro, and Current Algebra current Lie algebras. These families are genus one (i.e. elliptic) Lie algebras of Krichever—type. In this contribution the results are reviewed. The families of algebras are given in explicit form. The constructions are induced by the geometric process of degenerating the elliptic curves to singular cubics.
发表于 2025-3-23 07:10:03 | 显示全部楼层
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