# Read Generalized Lie Theory in Mathematics, Physics and Beyond Books

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**Read Book Generalized Lie Theory in Mathematics, Physics and Beyond Online** author by Sergei Silvestrov. Read or Download Generalized Lie Theory in Mathematics, Physics and Beyond format Hardcover in 305 and Published 12-11-2008 by Springer.

**Generalized Lie Theory in Mathematics, Physics and Beyond**

by: Sergei Silvestrov in Hardcover, 305

Published 12-11-2008 by Springer

**Generalized Lie Theory in Mathematics, Physics and Beyond** 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;

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