dorsal/arxiv
View SchemaQuommutator deformations of spl(N,1)
| Authors | Yves Brihaye |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703039 |
| URL | https://arxiv.org/abs/q-alg/9703039 |
| DOI | 10.1063/1.532499 |
Abstract
We analyse the Witten-Woronowicz's type deformations of the Lie superalgebras spl(N,1) and obtain deformations parametrized by N(N-1)/2 independent parameters for N>2 and by three parameters for N=2. For some of these algebras, finite dimensional representations can be constructed in terms of finite difference operators, providing operators that are relevant for the classification of quasi exactly solvable, finite difference equations.
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"abstract": "We analyse the Witten-Woronowicz\u0027s type deformations of the Lie superalgebras\nspl(N,1) and obtain deformations parametrized by N(N-1)/2 independent\nparameters for N\u003e2 and by three parameters for N=2. For some of these algebras,\nfinite dimensional representations can be constructed in terms of finite\ndifference operators, providing operators that are relevant for the\nclassification of quasi exactly solvable, finite difference equations.",
"arxiv_id": "q-alg/9703039",
"authors": [
"Yves Brihaye"
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"doi": "10.1063/1.532499",
"title": "Quommutator deformations of spl(N,1)",
"url": "https://arxiv.org/abs/q-alg/9703039"
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