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Quantum Lie Theory A Multilinear Approach

Автор: Bo0mB0om » 21 августа 2016
Quantum Lie Theory A Multilinear Approach

Vladislav Kharchenko, "Quantum Lie Theory: A Multilinear Approach"
English | ISBN: 3319227033 | 2016 | 320 pages | PDF | 3 MB


This is an introduction to the mathematics behind the phrase "quantum Lie algebra". The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary "quantum" Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac-Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich-Manin Lie algebras; and Shestakov-Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.


Quantum Lie Theory: A Multilinear ApproachQuantum Lie Theory: A Multilinear Approach
Quantum Lie Theory: A Multilinear ApproachQuantum Lie Theory: A Multilinear Approach

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