A geometric setting for quantum osp(1|2)

Abstract

A geometric categorification is given for arbitrary-large-finite-dimensional quotients of quantum osp(1|2) and the tensor product 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 isomorphic to each other over a field containing Q(v) and a root of -1.

Final version. To appear in Transactions of AMS

References in corpus (4)

• 2-Kac-Moody algebras
• Quantum Supergroups III. Twistors
• An odd categorification of quantum sl(2)
• A geometric categorification of tensor products of $U_q(s{l}_2)$-modules