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Representations of principal W-algebra for the superalgebra Q(n) and the super Yangian YQ(1)
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jalgebra.2020.12.001
Elena Poletaeva , Vera Serganova

We classify irreducible representations of finite $W$-algebra of the queer Lie superalgebra $Q(n)$ associated with the principal nilpotent coadjoint orbits. We use this classification and our previous results to obtain a classification of simple finite-dimensional representations of the super Yangian $YQ(1)$.

中文翻译:

超代数Q(n)和超Yianian YQ(1)的主W-代数的表示

我们对与主要幂零共伴随轨道相关联的奇异李超代数 $Q(n)$ 的有限 $W$-代数的不可约表示进行分类。我们使用这个分类和我们之前的结果来获得超级杨线 $YQ(1)$ 的简单有限维表示的分类。
更新日期:2021-03-01
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