dorsal/arxiv
View SchemaNoncommutative analogues of q-special polynomials and q-integral on a quantum sphere
| Authors | D. Gurevich, L. Vainerman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712008 |
| URL | https://arxiv.org/abs/q-alg/9712008 |
| DOI | 10.1088/0305-4470/31/7/011 |
Abstract
The q-Legendre polynomials can be treated as some special "functions in the quantum double cosets $U(1)\setminus SU_q(2)/U(1)$". They form a family (depending on a parameter $q$) of polynomials in one variable. We get their further generalization by introducing a two parameter family of polynomials. If the former family arises from an algebra which is in a sense "q-commutative", the latter one is related to its noncommutative counterpart. We introduce also a two parameter deformation of the invariant integral on a sphere.
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"abstract": "The q-Legendre polynomials can be treated as some special \"functions in the\nquantum double cosets $U(1)\\setminus SU_q(2)/U(1)$\". They form a family\n(depending on a parameter $q$) of polynomials in one variable. We get their\nfurther generalization by introducing a two parameter family of polynomials. If\nthe former family arises from an algebra which is in a sense \"q-commutative\",\nthe latter one is related to its noncommutative counterpart. We introduce also\na two parameter deformation of the invariant integral on a sphere.",
"arxiv_id": "q-alg/9712008",
"authors": [
"D. Gurevich",
"L. Vainerman"
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"doi": "10.1088/0305-4470/31/7/011",
"title": "Noncommutative analogues of q-special polynomials and q-integral on a quantum sphere",
"url": "https://arxiv.org/abs/q-alg/9712008"
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