A geometric setting for quantum osp(1|2)

Zhaobing Fan; Yiqiang Li

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

A geometric setting for quantum osp(1|2)

Zhaobing Fan
, Yiqiang Li

Mathematics

SUNY Buffalo
Kansas State University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	7895-7916
Number of pages	22
Journal	Transactions of the American Mathematical Society
Volume	367
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9947-2015-06266-7
State	Published - Nov 1 2015

Keywords

Categorification
Perverse sheaf
Quantum modified algebra
Quantum osp(1|2)
Tensor product module

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10.1090/S0002-9947-2015-06266-7

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abstract = "A geometric categorification is given for arbitrary-large-finitedimensional quotients of quantum osp(1|2) and tensor products of its simple modules. The modified quantum osp(1|2) of Clark-Wang, a new version in this paper and the modified quantum sl(2) are shown to be isomorphic to each other over a field containing ℚ(v) and √−1.",

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KW - Perverse sheaf

KW - Quantum modified algebra

KW - Quantum osp(1|2)

KW - Tensor product module

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A geometric setting for quantum osp(1|2)

Abstract

Keywords

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