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 contempora...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Silvestrov, Sergei D. (Editor ), Paal, Eugen (Editor ), Abramov, Viktor (Editor ), Stolin, Alexander (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Temas:
Algebra.
Topological groups.
Lie groups.
Mathematical physics.
Topological Groups and Lie Groups.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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).

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