dorsal/arxiv
View SchemaOn the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras
| Authors | Hiroyuki Yamane |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9603015 |
| URL | https://arxiv.org/abs/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 $U_h({\hat {sl}}(m|n)^{(1)})$.
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"date_created": "2026-03-02T18:01:28.472000Z",
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"abstract": "In this paper, we give defining relations of the affine Lie superalgebras an\nand defining relations of a super-version of the Drinfeld[D]-Jimbo[J] affine\nquantized universal enveloping algebras. As a result, we can exactly define the\naffine quantized universal enveloping superalgebras with generators and\nrelations. Moreover we give a Drinfeld\u0027s realizations of $U_h({\\hat\n{sl}}(m|n)^{(1)})$.",
"arxiv_id": "q-alg/9603015",
"authors": [
"Hiroyuki Yamane"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "On the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras",
"url": "https://arxiv.org/abs/q-alg/9603015"
},
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