Description: Quantum Lie Theory : A Multilinear Approach, Paperback by Kharchenko, Vladislav, ISBN 3319227033, ISBN-13 9783319227030, Brand New, Free shipping in the US 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, th 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.
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Book Title: Quantum Lie Theory : A Multilinear Approach
Number of Pages: Xiii, 302 Pages
Language: English
Publication Name: Quantum Lie Theory : a Multilinear Approach
Publisher: Springer International Publishing A&G
Publication Year: 2015
Subject: Physics / Quantum Theory, Algebra / Abstract
Item Weight: 171.5 Oz
Type: Textbook
Author: Vladislav Kharchenko
Subject Area: Mathematics, Science
Item Length: 9.3 in
Item Width: 6.1 in
Series: Lecture Notes in Mathematics Ser.
Format: Trade Paperback
