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Quantum Lie theory : a multilinear approach / Vladislav Kharchenko
Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Lecture notes in mathematics ; 2150Verlag: Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, [2015]Copyright-Datum: © 2015Beschreibung: xiii, 302 SeitenISBN:- 9783319227030
- QA251.5
Inhalte:
Zusammenfassung: 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 formPPN: PPN: 845387502
| Medientyp | Heimatbibliothek | Standort | Signatur | Status | Barcode | |
|---|---|---|---|---|---|---|
| Freihandbestand ausleihbar | Fachbibliothek Mathematik | Bibliothek / frei aufgestellt | Lect. notes / 2150 | Verfügbar | 36364229090 |
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