On Defining Relations of the Affine Lie Superalgebras and Their Quantized Universal Enveloping Superalgebras

نویسنده

  • Hiroyuki Yamane
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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تاریخ انتشار 1996