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arXiv · 2603.21480

The Littlewood-Richardson rule for Schur $P$-, $Q$-multiple zeta functions

Hikari Hanaki
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Abstract

The Schur $P$-, $Q$-multiple zeta functions were defined by Nakasuji and Takeda inspired by the tableau representation of Schur $P$-, $Q$-functions. While a product of two Schur $P$-functions expands as a linear combination of Schur $P$-functions, we obtain a similar expansion formula for the Schur $P$-multiple zeta functions by taking summation over the symmetric group permutating all the variables. We also introduce a expansion formula of skew Schur $Q$-multiple zeta functions by taking summation over the symmetric group. Furthermore, this skew type formula can be refined by restricting the symmetric group to its specific subgroup.

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Hikari Hanaki. 2026-03-23. The Littlewood-Richardson rule for Schur $P$-, $Q$-multiple zeta functions. https://arxiv.org/abs/2603.21480

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