dorsal/arxiv
View SchemaAffine Hecke algebras and raising operators for Macdonald polynomials
| Authors | Anatol N. Kirillov, Masatoshi Noumi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605004 |
| URL | https://arxiv.org/abs/q-alg/9605004 |
Abstract
We introduce certain raising and lowering operators for Macdonald polynomials (of type $A_{n-1}$) by means of Dunkl operators. The raising operators we discuss are a natural $q$-analogue of raising operators for Jack polynomials introduced by L.Lapointe and L.Vinet. As an application we prove the integrality of double Kostka coefficients. Double analog of the multinomial coefficients are introduced.
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"abstract": "We introduce certain raising and lowering operators for Macdonald polynomials\n(of type $A_{n-1}$) by means of Dunkl operators. The raising operators we\ndiscuss are a natural $q$-analogue of raising operators for Jack polynomials\nintroduced by L.Lapointe and L.Vinet. As an application we prove the\nintegrality of double Kostka coefficients. Double analog of the multinomial\ncoefficients are introduced.",
"arxiv_id": "q-alg/9605004",
"authors": [
"Anatol N. Kirillov",
"Masatoshi Noumi"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Affine Hecke algebras and raising operators for Macdonald polynomials",
"url": "https://arxiv.org/abs/q-alg/9605004"
},
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