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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Quantum Lie Theory: A Multilinear Approach

Quantum Lie Theory: A Multilinear Approach

Kharchenko, Vladislav

Paperback

Series: Lecture Notes in Mathematics, Book 2150

AlgebraGeneral MathematicsPhysics

ISBN10: 3319227033
ISBN13: 9783319227030
Publisher: Springer Nature
Published: Dec 25 2015
Pages: 302
Weight: 0.99
Height: 0.67 Width: 6.14 Depth: 9.21
Language: English

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.

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