Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar
arXiv:2108.12766 · doi:10.1090/bproc/221
Abstract
We prove a novel pair of Littlewood identities for Schur functions, recently conjectured by Lee, Rains and Warnaar in the Macdonald case, in which the sum is over partitions with empty 2-core. As a byproduct we obtain a new Littlewood identity in the spirit of Littlewood's original formulae.
14 pages; v2 contains minor corrections