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Generalized Lie Theory in Mathematics, Physics and Beyond

BuchGebunden
306 Seiten
Englisch
Springererschienen am12.11.2008
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.mehr
Verfügbare Formate
BuchGebunden
EUR106,99
BuchKartoniert, Paperback
EUR106,99
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-540-85331-2
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2008
Erscheinungsdatum12.11.2008
Seiten306 Seiten
SpracheEnglisch
Gewicht596 g
IllustrationenXVIII, 306 p. 3 illus.
Artikel-Nr.10950451

Inhalt/Kritik

Inhaltsverzeichnis
Non-Associative and Non-Commutative Structures for Physics.- Moufang Transformations and Noether Currents.- Weakly Nonassociative Algebras, Riccati and KP Hierarchies.- Applications of Transvectants.- Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics.- A Rewriting Approach to Graph Invariants.- Non-Commutative Deformations, Quantization, Homological Methods, and Representations.- Graded q-Differential Algebra Approach to q-Connection.- On Generalized N-Complexes Coming from Twisted Derivations.- Remarks on Quantizations, Words and R-Matrices.- Connections on Modules over Singularities of Finite and Tame CM Representation Type.- Computing Noncommutative Global Deformations Of D-Modules.- Comparing Small Orthogonal Classes.- Groups and Actions.- How to Compose Lagrangian?.- Semidirect Products of Generalized Quaternion Groups by a Cyclic Group.- A Characterization Of A Class Of 2-Groups By Their Endomorphism Semigroups.- Adjoint Representations and Movements.- Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus.- Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras.- Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras.- Bosonisation and Parastatistics.- Deformations of the Witt, Virasoro, and Current Algebra.- Conformal Algebras in the Context of Linear Algebraic Groups.- Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions.- A Note on Quasi-Lie and Hom-Lie Structures of ?-Derivations of C=[Z 1 ±1 ,...,Z n ±1 ].- Commutative Subalgebras in Noncommutative Algebras.- Algebraic Dependence of Commuting Elements in Algebras.- Crossed Product-Like and Pre-Crystalline Graded Rings.-Decomposition of the Enveloping Algebra so(5).mehr