Quantum Lie Theory : A Multilinear Approach / / by Vladislav Kharchenko
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| Autore: |
Kharchenko Vladislav
|
| Titolo: |
Quantum Lie Theory : A Multilinear Approach / / by Vladislav Kharchenko
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (XIII, 302 p.) |
| Disciplina: | 512.55 |
| Soggetto topico: | Associative rings |
| Rings (Algebra) | |
| Nonassociative rings | |
| Group theory | |
| Quantum theory | |
| Associative Rings and Algebras | |
| Non-associative Rings and Algebras | |
| Group Theory and Generalizations | |
| Quantum Physics | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Elements of noncommutative algebra -- Poincar´e-Birkhoff-Witt basis -- Quantizations of Kac-Moody algebras -- Algebra of skew-primitive elements -- Multilinear operations -- Braided Hopf algebras -- Binary structures -- Algebra of primitive nonassociative polynomials. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Quantum lie theory |
| ISBN: | 3-319-22704-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910134869303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 2150