Generalized Lie Theory in Mathematics, Physics and Beyond - Couverture rigide

Couverture rigide

ISBN 10 : 3540853316 ISBN 13 : 9783540853312

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2008

Synopsis

The aim of this book is to extend the understanding of the fundamental role of generalizations of Lie and related non-commutative and non-associative structures in Mathematics and Physics. This is a thematic volume devoted to the interplay between several rapidly exp- ding research ?elds in contemporary Mathematics and Physics, such as generali- tions 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, n- commutative geometry and applications in Physics and beyond. The speci?c ?elds covered by this volume include: - Applications of Lie, non-associative and non-commutative associative structures to generalizations of classical and quantum mechanics and non-linear integrable systems, operadic and group theoretical methods; - Generalizations and quasi-deformations of Lie algebras such as color and super Lie algebras, quasi-Lie algebras, Hom-Lie algebras, in?nite-dimensional Lie algebras of vector ?elds associated to Riemann surfaces, quasi-Lie algebras of Witt type and their central extensions and deformations important for in- grable systems, for conformal ?eld theory and for string theory; - Non-commutative deformation theory, moduli spaces and interplay with n- commutativegeometry, algebraicgeometryandcommutativealgebra, q-deformed differential calculi and extensions of homological methods and structures; - Crossed product algebras and actions of groups and semi-groups, graded rings and algebras, quantum algebras, twisted generalizations of coalgebras and Hopf algebra structures such as Hom-coalgebras, Hom-Hopf algebras, and super Hopf algebras and their applications to bosonisation, parastatistics, parabosonic and parafermionic algebras, orthoalgebas and root systems in quantum mechanics;

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3540853316
• ISBN 13: 9783540853312
• Reliure: Relié
• Nombre de pages: 324
• Éditeur: Silvestrov Sergei D., Paal Eugen, Abramov Viktor, Stolin Alexander
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne