Asymptotic Combinatorics With Application to Mathematical Physics 2002
DOI: 10.1007/978-94-010-0575-3_12
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Representations Theory and Doubles of Yangians of Classical Lie Superalgebras

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Cited by 8 publications
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“…Further, in [11,13] the quantum double of the Yangian of the Lie superalgebra A(m, n) is described, and the multiplicative formulas for the universal R-matrices (for both quantum double of the Yangian and Yangian) are obtained. This paper is the consequence of [10,12] and extension of some of their results on the Yangian of the "strange" Lie superalgebra.…”
Section: Introductionmentioning
confidence: 99%
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“…Further, in [11,13] the quantum double of the Yangian of the Lie superalgebra A(m, n) is described, and the multiplicative formulas for the universal R-matrices (for both quantum double of the Yangian and Yangian) are obtained. This paper is the consequence of [10,12] and extension of some of their results on the Yangian of the "strange" Lie superalgebra.…”
Section: Introductionmentioning
confidence: 99%
“…The RFT approach is used in the paper [14] (see also [6,7,8]) to define the Yangian of basic Lie superalgebra, while the Drinfel'd's one is used in papers [10,11,13]. We cannot use directly Drinfel'd approach for defining the Yangian of strange Lie superalgebra [16] as this Lie superalgebra does not have nonzero invariant bilinear forms.…”
Section: Introductionmentioning
confidence: 99%
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