Quantum Lie Theory

A Multilinear Approach

Nonfiction, Science & Nature, Mathematics, Algebra, Science, Physics, Quantum Theory
Cover of the book Quantum Lie Theory by Vladislav Kharchenko, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Vladislav Kharchenko ISBN: 9783319227047
Publisher: Springer International Publishing Publication: December 24, 2015
Imprint: Springer Language: English
Author: Vladislav Kharchenko
ISBN: 9783319227047
Publisher: Springer International Publishing
Publication: December 24, 2015
Imprint: Springer
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Climate, Fire and Human Evolution by Vladislav Kharchenko
Cover of the book Limited Statehood in Post-Revolutionary Tunisia by Vladislav Kharchenko
Cover of the book Reproducible Research in Pattern Recognition by Vladislav Kharchenko
Cover of the book British and American Representations of 9/11 by Vladislav Kharchenko
Cover of the book Human-Computer Interaction. Perspectives on Design by Vladislav Kharchenko
Cover of the book Erectile Dysfunction in Hypertension and Cardiovascular Disease by Vladislav Kharchenko
Cover of the book Toolbox for Marketing and Management by Vladislav Kharchenko
Cover of the book Renewable Energy in the Service of Mankind Vol I by Vladislav Kharchenko
Cover of the book Nonlinear Dynamics New Directions by Vladislav Kharchenko
Cover of the book Sociology of Exorcism in Late Modernity by Vladislav Kharchenko
Cover of the book Minimally Invasive Acute Care Surgery by Vladislav Kharchenko
Cover of the book Lecture Notes on Wavelet Transforms by Vladislav Kharchenko
Cover of the book Characterization of Metals and Alloys by Vladislav Kharchenko
Cover of the book Blockchain – ICBC 2018 by Vladislav Kharchenko
Cover of the book Advances in Electrodermal Activity Processing with Applications for Mental Health by Vladislav Kharchenko
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy