Descript 
1 online resource (xiii, 302 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
Series 
Lecture notes in mathematics, 00758434 ; 2150


Lecture notes in mathematics ; 2150

Note 
Elements of noncommutative algebra  Poincar'eBirkhoffWitt basis  Quantizations of KacMoody algebras  Algebra of skewprimitive elements  Multilinear operations  Braided Hopf algebras  Binary structures  Algebra of primitive nonassociative polynomials 

This is an introduction to the mathematics behind the phrase "quantum Lie algebra". The numerous attempts over the last 1520 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 PBWtype theorem; quantum deformations of KacMoody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the GurevichManin Lie algebras; and ShestakovUmirbaev 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 
Host Item 
Springer eBooks

Subject 
Lie algebras


Quantum theory


Mathematics


Associative Rings and Algebras


Nonassociative Rings and Algebras


Group Theory and Generalizations


Quantum Physics

Alt Author 
SpringerLink (Online service)

