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

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

1996-03-15

arxiv.org/abs/q-alg/9603015v1

Mathematics

Quantum Algebra

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Scientific paper

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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