Abstract
We introduce a modified quantum enveloping algebra as well as a (modified) covering quantum algebra for the ortho-symplectic Lie superalgebra \({\mathfrak{osp}(1|2)}\). Then we formulate and compute the corresponding canonical bases, and relate them to the counterpart for \({\mathfrak{sl}(2)}\). This provides a first example of canonical basis for quantum superalgebras.
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Clark, S., Wang, W. Canonical Basis for Quantum \({\mathfrak{osp}(1|2)}\) . Lett Math Phys 103, 207–231 (2013). https://doi.org/10.1007/s11005-012-0592-3
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DOI: https://doi.org/10.1007/s11005-012-0592-3