000 | 03289nam a22005175i 4500 | ||
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001 | 978-3-319-22704-7 | ||
003 | DE-He213 | ||
005 | 20190213151809.0 | ||
007 | cr nn 008mamaa | ||
008 | 151224s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319227047 _9978-3-319-22704-7 |
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024 | 7 |
_a10.1007/978-3-319-22704-7 _2doi |
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_aPBF _2bicssc |
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_aPBF _2thema |
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_a512.46 _223 |
100 | 1 |
_aKharchenko, Vladislav. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aQuantum Lie Theory _h[electronic resource] : _bA Multilinear Approach / _cby Vladislav Kharchenko. |
250 | _a1st ed. 2015. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aXIII, 302 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2150 |
|
505 | 0 | _aElements 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 | _aThis 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 | _aAlgebra. | |
650 | 0 | _aGroup theory. | |
650 | 0 | _aQuantum theory. | |
650 | 1 | 4 |
_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027 |
650 | 2 | 4 |
_aNon-associative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11116 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319227030 |
776 | 0 | 8 |
_iPrinted edition: _z9783319227054 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2150 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-22704-7 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11921 _d11921 |