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Quantum Lie Theory A Multilinear Approach /
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 a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Lecture Notes in Mathematics,
2150 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-22704-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220117222143.0 | ||
| 007 | cr nn 008mamaa | ||
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| 020 | |a 9783319227047 |9 978-3-319-22704-7 | ||
| 024 | 7 | |a 10.1007/978-3-319-22704-7 |2 doi | |
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| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 512.46 |2 23 |
| 100 | 1 | |a Kharchenko, Vladislav. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Quantum Lie Theory |h [electronic resource] : |b A Multilinear Approach / |c by Vladislav Kharchenko. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XIII, 302 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2150 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Associative rings. | |
| 650 | 0 | |a Associative algebras. | |
| 650 | 0 | |a Nonassociative rings. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 1 | 4 | |a Associative Rings and Algebras. |
| 650 | 2 | 4 | |a Non-associative Rings and Algebras. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319227030 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319227054 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2150 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-22704-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||