A geometric setting for quantum 𝔬𝔰𝔭(1|2)

Fan, Zhaobing; Li, Yiqiang

doi:10.1090/S0002-9947-2015-06266-7

A geometric setting for quantum $\mathfrak {osp}(1|2)$
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by Zhaobing Fan and Yiqiang Li PDF

Trans. Amer. Math. Soc. 367 (2015), 7895-7916 Request permission

Abstract:

A geometric categorification is given for arbitrary-large-finite- dimensional quotients of quantum $\mathfrak {osp}(1|2)$ and tensor products of its simple modules. The modified quantum $\mathfrak {osp}(1|2)$ of Clark-Wang, a new version in this paper and the modified quantum $\mathfrak {sl}(2)$ are shown to be isomorphic to each other over a field containing $\mathbb Q(v)$ and $\sqrt {-1}$.

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