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03043nam a22005415i 4500 |
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978-3-319-22704-7 |
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DE-He213 |
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20151224172327.0 |
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cr nn 008mamaa |
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151224s2015 gw | s |||| 0|eng d |
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|a 9783319227047
|9 978-3-319-22704-7
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|a 10.1007/978-3-319-22704-7
|2 doi
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|a QA251.5
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|a 512.46
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|a Kharchenko, Vladislav.
|e author.
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|a Quantum Lie Theory
|h [electronic resource] :
|b A Multilinear Approach /
|c by Vladislav Kharchenko.
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2015.
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|a XIII, 302 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2150
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|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.
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|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.
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|a Mathematics.
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|a Associative rings.
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|a Rings (Algebra).
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| 650 |
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|a Group theory.
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|a Nonassociative rings.
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|a Quantum physics.
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|a Mathematics.
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|a Associative Rings and Algebras.
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| 650 |
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|a Non-associative Rings and Algebras.
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| 650 |
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|a Group Theory and Generalizations.
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| 650 |
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|a Quantum Physics.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319227030
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2150
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-319-22704-7
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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