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Determinantal expressions for Macdonald polynomials
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http://hdl.handle.net/1860/1944
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| Title: | Determinantal expressions for Macdonald polynomials |
| Authors: | Morse, Jennifer
Lapointe, Luc
Lascoux, Alain |
| Issue Date: | 11-Aug-1998 |
| Citation: | Retrieved November 2, 2007 from http://xxx.lanl.gov/find/grp_math/1/au:+Morse_J/0/1/0/all/0/1. |
| Abstract: | We show that the action of classical operators associated to the Macdonald
polynomials on the basis of Schur functions, Sλ [X(t − 1)/(q − 1)], can be
reduced to addition in λ−rings. This provides explicit formulas for the Macdonald
polynomials expanded in this basis as well as in the ordinary Schur basis, Sλ[X],
and the monomial basis, mλ[X]. |
| URI: | http://lanl.arxiv.org/abs/math/9808050v1
http://hdl.handle.net/1860/1944 |
| Appears in Collections: | Faculty Research and Publications (Mathematics)
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