A Conjecture about Raising Operators for Macdonald Polynomials

Details A Conjecture about Raising Operators for Macdonald Polynomials A Conjecture about Raising Operators for Macdonald Polynomials

2005-03-31

arxiv.org/abs/math/0503727v2

Mathematics

Quantum Algebra

13 pages

Scientific paper

10.1007/s11005-005-7648-6

A multivariable hypergeometric-type formula for raising operators of the
Macdonald polynomials is conjectured. It is proved that this agrees with Jing
and Jozefiak's expression for the two-row Macdonald polynomials, and also with
Lassalle and Schlosser's formula for partitions with length three.

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