On representations of Yangian of Lie Superalgebra A(n,n) type
On representations of Yangian of Lie Superalgebra A(n,n) type
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论李超代数A(n,n)型的Yangian表示
DOI：
10.1088/1742-6596/411/1/012027
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
V. Stukopin
中科院分区：
文献类型：
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作者：
V. Stukopin
用Drinfel‘d多项式刻画了A(n，n)型李超代数的有限维不可约表示。给出并证明了不可约表示为有限维的充要条件。证明了A(n，n)李超代数的杨元的Poincare-Birkoff-Witt定理。
The finite-dimensional irreducible representations of Yangian of Lie Superalgebra of A(n, n) type is described in terms of Drinfel'd polynomials. The necessarily and sufficient conditions of finite-dimensionality of irreducible representation are formulated and proved. The Poincare-Birkoff-Witt theorem for Yangian of A(n, n) Lie Superalgebra is proved also.