Canonical basis for quantum osp(1|2)
Representation Theory
2015-06-04 v3 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1204.3940,
title = {Canonical basis for quantum osp(1|2)},
author = {Sean Clark and Weiqiang Wang},
journal= {arXiv preprint arXiv:1204.3940},
year = {2015}
}
Comments
v2, minor corrections and one reference added, to appear in Lett. Math. Phys. v3, very minor corrections, final version