Finite $W$-superalgebras for queer Lie superalgebras

Lei Zhao

Finite $W$-superalgebras for queer Lie superalgebras

Representation Theory 2012-05-09 v2

Authors: Lei Zhao

Abstract

We initiate and develop the theory of finite $W$ -superalgebras $\mathcal{W}_\chi$ associated to the queer Lie superalgebra $\g=\q(N)$ and a nilpotent linear functional $\chi \in \ev\g^*$ . We show that the definition of the $W$ -superalgebra is independent of various choices. We also establish a Skryabin type equivalence between the category of $\mathcal{W}_\chi$ -modules and a category of certain $\g$ -modules.

Keywords

finite W-superalgebras queer Lie superalgebras nilpotent linear functional Skryabin equivalence module category q(N)

Cite

@article{arxiv.1012.2326,
  title  = {Finite $W$-superalgebras for queer Lie superalgebras},
  author = {Lei Zhao},
  journal= {arXiv preprint arXiv:1012.2326},
  year   = {2012}
}

Comments

The original submission was broken into two parts. This is the first part; the second part will posted later

Finite $W$-superalgebras for queer Lie superalgebras

Abstract

Keywords

Cite

Comments

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