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arXiv · 2108.12766

Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar

Seamus P. Albion
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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.

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Seamus P. Albion. 2024-06-29. Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar. https://doi.org/10.1090/bproc%2F221

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