On the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras

1996/03/15 by Yamane, Hiroyuki
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9603015

Abstract

In this paper, we give defining relations of the affine Lie superalgebras an and defining relations of a super-version of the Drinfeld[D]-Jimbo[J] affine quantized universal enveloping algebras. As a result, we can exactly define the affine quantized universal enveloping superalgebras with generators and relations. Moreover we give a Drinfeld's realizations of U_h( sl(m|n)⁽¹⁾).

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• Generalized Drinfeld realization of quantum superalgebras and U_q( \frak osp(1,2))
• Drinfeld Realization for quantum affine superalgebras of type B
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