Canonical basis for quantum osp(1|2)

Abstract

We introduce a modified quantum enveloping algebra as well as a (modified) covering quantum algebra for the ortho-symplectic Lie superalgebra osp(1|2). Then we formulate and compute the corresponding canonical bases, and relate them to the counterpart for sl(2). This provides a first example of canonical basis for quantum superalgebras.

v2, minor corrections and one reference added, to appear in Lett. Math. Phys. v3, very minor corrections, final version

References in corpus (1)

• A categorification of quantum sl(2)

Cited by in corpus (7)

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• Quantum Supergroups III. Twistors
• Super Kac-Moody 2-categories
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• DG structures on odd categorified quantum sl(2)
• Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants
• Odd Grassmannian bimodules and derived equivalences for spin symmetric groups