Quantum Lie Theory A Multilinear Approach /

• Main Author: Kharchenko, Vladislav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes in Mathematics, 2150
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Nonassociative rings.; Quantum physics.; Associative Rings and Algebras.; Non-associative Rings and Algebras.; Group Theory and Generalizations.; Quantum Physics.

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...

Table of Contents:

• Elements of noncommutative algebra
• Poincar´e-Birkhoff-Witt basis
• Quantizations of Kac-Moody algebras
• Algebra of skew-primitive elements
• Multilinear operations
• Braided Hopf algebras
• Binary structures
• Algebra of primitive nonassociative polynomials.