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

Hiroyuki Yamane

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

Hiroyuki Yamane

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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 $U_h({\hat {sl}}(m|n)^{(1)})$.

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BibTeX RIS

Hiroyuki Yamane. 1996-03-15. On the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras. https://arxiv.org/abs/q-alg/9603015

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