Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

Details Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

2007-05-08

arxiv.org/abs/0705.1071v2

Publ.Res.Inst.Math.Sci.Kyoto B8:171,2008

Mathematics

Quantum Algebra

40 pages, 1 figure. close to the final version to appear in RIMS Kokyuroku Bessatsu (Besstsu) B8 (2008) 171-216

Scientific paper

We obtain Drinfeld second realization of the quantum affine superalgebras
associated with the affine Lie superalgebra $D^{(1)}(2,1;x)$. Our results are
analogous to those obtained by Beck for the quantum affine algebras. Beck's
analysis uses heavily the (extended) affine Weyl groups of the affine Lie
algebras. In our approach the structures are based on a Weyl groupoid.

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