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arXiv · 1403.3866

On Kostant's theorem for the Lie superalgebra Q(n)

Elena Poletaeva·Vera Serganova
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Abstract

In this paper we study finite W-algebras for basic classical superalgebras and Q(n) associated to the regular even nilpotent coadjoint orbits. We prove that this algebra satisfies the Amitsur-Levitzki identity and therefore all its irreducible representations are finite-dimensional. In the case of Q(n) we give an explicit description of the W-algebra in terms of generators and relation and realize it as a quotient of the super-Yangian of Q(1).

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BibTeXRIS

Elena Poletaeva, Vera Serganova. 2014-03-16. On Kostant's theorem for the Lie superalgebra Q(n). https://arxiv.org/abs/1403.3866

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