Generalized Lie Theory in Mathematics, Physics and Beyond
(Sprache: Englisch)
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...
This volume is devoted to the interplay between several...
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Produktinformationen zu „Generalized Lie Theory in Mathematics, Physics and Beyond “
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.
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.
Klappentext zu „Generalized Lie Theory in Mathematics, Physics and Beyond “
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.
Inhaltsverzeichnis zu „Generalized Lie Theory in Mathematics, Physics and Beyond “
1. Moufang transformations and Noether currents2. Weakly Nonassociative Algebras, Riccati and KP Hierarchies
3. Applications of Transvectants
4. Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics
5. A Rewriting Approach to Graph Invariants
6. Graded q-Differential Algebra Approach to q-Connection
7. On generalized N-complexes coming from twisted derivations
8. Remarks on Quantizations, Words and R-matrices
9. Connections on Modules over Singularities of Finite and Tame CM Representation Type
10. Computing noncommutative global deformations of D-modules
11. Comparing Small Orthogonal Classes
12. How to Compose Lagrangian?13. Semidirect Products of Generalized Quaternion Groups by a Cyclic Group
14. A Characterization of a Class of 2-Groups by Their Endomorphism Semigroups
15. Adjoint Representations and Movements
16. Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus
17. Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
18. Bosonisation and Parastatistics
19. Deformations of the Witt, Virasoro, and Current Algebra
20. Conformal Algebras in The Context of Linear Algebraic Groups
21. Lie color and hom-Lie algebras of Witt type and their central extensions
22. A Note On Quasi-Lie and Hom-Lie Structures of . .
23. Algebraic Dependence of Commuting Elements in Algebras
24. Crossed Product-Like and Pre-Crystalline Graded Rings
25. Decomposition of The Enveloping Algebra so(5)
Bibliographische Angaben
- 2008, XVIII, 306 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Sergei D. Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin
- Verlag: Springer, Berlin
- ISBN-10: 3540853316
- ISBN-13: 9783540853312
- Erscheinungsdatum: 12.11.2008
Sprache:
Englisch
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