dorsal/arxiv
View SchemaOn Cherednik-Macdonald-Mehta identities
| Authors | Pavel Etingof, Alexander Kirillov Jr |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712051 |
| URL | https://arxiv.org/abs/q-alg/9712051 |
Abstract
In this note we give a short proof of Cherednik's generalization of Macdonald-Mehta identities for the root system $A_{n-1}$ using the representation theory of quantum groups. These identities, suggested and proved by Cherednik, give an explicit formula for the integral of a product of Macdonald polynomials with respect to a ``difference analogue of the Gaussian measure''.
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"abstract": "In this note we give a short proof of Cherednik\u0027s generalization of\nMacdonald-Mehta identities for the root system $A_{n-1}$ using the\nrepresentation theory of quantum groups. These identities, suggested and proved\nby Cherednik, give an explicit formula for the integral of a product of\nMacdonald polynomials with respect to a ``difference analogue of the Gaussian\nmeasure\u0027\u0027.",
"arxiv_id": "q-alg/9712051",
"authors": [
"Pavel Etingof",
"Alexander Kirillov Jr"
],
"categories": [
"q-alg",
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"title": "On Cherednik-Macdonald-Mehta identities",
"url": "https://arxiv.org/abs/q-alg/9712051"
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