Adding \pm 1 to the argument of an Hall-Littlewood polynomial

Details Adding \pm 1 to the argument of an Hall-Littlewood polynomial Adding \pm 1 to the argument of an Hall-Littlewood polynomial

2007-09-13

arxiv.org/abs/0709.2088v1

Mathematics

Combinatorics

Scientific paper

Shifting by \pm 1 powers sums: p_i \to p_i \pm 1 induces a transformation on
symmetric functions that we detail in the case of Hall-Littlewood polynomials.
By iteration, this gives a description of these polynomials in terms of plane
partitions, as well as some generating functions. We recover in particular an
identity of Warnaar related to Rogers-Ramanujan identities.

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