On Defining Relations of the Affine Lie Superalgebras and Their Quantized Universal Enveloping Superalgebras
نویسنده
چکیده
Introduction. In this paper, we give defining relations of the affine Lie superalgebras and defining relations of a super-version of the Drinfeld[D1]Jimbo[J] affine quantized 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 realization of Uh(ŝl(m|n)). For the Kac-Moody Lie algebra G, Gabber-Kac [GK] proved the Serre theorem which states that G is defined with the Chevalley generators Hi, Ei, Fi (1 ≤ i ≤ rankG) and relations
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