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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.
Produkteigenschaften
- Artikelnummer: 9783319227030
- Medium: Buch
- ISBN: 978-3-319-22703-0
- Verlag: Palgrave Macmillan
- Erscheinungstermin: 25.12.2015
- Sprache(n): Englisch
- Auflage: 1. Auflage 2015
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 4861 g
- Seiten: 302
- Format (B x H x T): 155 x 235 x 18 mm
- Ausgabetyp: Kein, Unbekannt