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

I Heckenberger; F Spill; A Torrielli; H Yamane

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

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

I Heckenberger, F Spill, A Torrielli and H Yamane

RIMS Kokyuroku Bessatsu, (B8), pp.171-216

01/01/2008

Abstract

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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Title: Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
Creators: I Heckenberger
F Spill
A Torrielli
H Yamane
Publication Details: RIMS Kokyuroku Bessatsu, (B8), pp.171-216
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Date published: 01/01/2008
Date submitted: 21/12/2011
Identifiers: 99514740602346
Academic Unit: Department of Mathematics
Resource Type: Journal article

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

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