Canonical basis for quantum osp(1|2)

Mathematics – Representation Theory

Scientific paper

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20 pages

Scientific paper

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.

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