| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL | Não Ficção | QA251 FCT 96784 (Browse shelf) | 1 | Available |
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| QA251. FCT 96670 Constructive commutative algebra | QA251. FCT 96712 Introduction to the representation theory of algebras | QA251. FCT 96755 Arithmetically cohen-macaulay sets of points in P^1 x P^1 | QA251 FCT 96784 Quantum lie theory | QA251 FCT 96867 Non- associative and non-commutative algebra and operator theory | QA251 FCT 96929 Multiplicative ideal theory and factorization theory | QA251. FCT 97135 Extended abstracts spring 2015 |
Colocação: Online
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.
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