Published September 2009
| Submitted
Journal Article
Open
Nonsymmetric interpolation macdonald polynomials and gl_n basic hypergeometric series
- Creators
- Lascoux, Alain
-
Rains, Eric M.
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Warnaar, S. Ole
Abstract
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric series of type gl_n. Our main results include a new q-binomial theorem, a new q-Gauss sum, and several transformation formulae for gl_n series.
Additional Information
© 2009 Springer. Received: 11 September 2008. Accepted: 12 March 2009. Published online: 8 July 2009. Supported by the ANR project MARS (BLAN06-2 134516). Supported by the NSF grant DMS-0401387. Supported by the Australian Research Council. Part of this work was carried out at MSRI during the special programme Combinatorial Representation Theory. AL and SOW thank MSRI for hospitality and financial support.Attached Files
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Additional details
- Eprint ID
- 15787
- DOI
- 10.1007/s00031-009-9061-1
- Resolver ID
- CaltechAUTHORS:20090911-153557865
- BLAN06-2 134516
- Agence Nationale pour la Recherche (ANR)
- DMS-0401387
- NSF
- Australian Research Council
- Created
-
2009-09-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field