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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;

Reading Generalized Lie Theory in Mathematics, Physics and Beyond Online - generalized lie theory in mathematics 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 - course of lie theory i fall 2013 at the university of oklahoma mostly class notes and the text book lie groups lie algebras and representations an elementary introduction by hallb 1 were used in writing these notes no proofs are given except in some cases in the chapter 3 and it is essentially the same material as in 1 - - commutative subalgebras in noncommutative algebras 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 - 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 - - course of lie theory i fall 2013 at the university of oklahoma mostly class notes and the text book lie groups lie algebras and representations an elementary introduction by hallb 1 were used in writing these notes no proofs are given except in some cases in the chapter 3 and it is essentially the same material as in 1 - course of lie theory i fall 2013 at the university of oklahoma mostly class notes and the text book lie groups lie algebras and representations an elementary introduction by hallb 1 were used in writing these notes no proofs are given except in some cases in the chapter 3 and it is essentially the same material as in 1 - lie superalgebra in mathematics a lie superalgebra is a generalisation of a lie algebra to include a z2 grading lie superalgebras are important in theoretical physics where they are used to describe the mathematics of supersymmetry in most of these theories the even elements of the superalgebra correspond to bosons and odd elements to fermions - - - - - - - - - - -

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