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- W2963718592 abstract "This paper proves a combinatorial rule expressing the product $$s_tau (s_{lambda /mu } circ p_r)$$ of a Schur function and the plethysm of a skew Schur function with a power-sum symmetric function as an integral linear combination of Schur functions. This generalizes the SXP rule for the plethysm $$s_lambda circ p_r$$ . Each step in the proof uses either an explicit bijection or a sign-reversing involution. The proof is inspired by an earlier proof of the SXP rule due to Remmel and Shimozono (Discrete Math. 193:257–266, 1998). The connections with two later combinatorial rules for special cases of this plethysm are discussed. Two open problems are raised. The paper is intended to be readable by non-experts." @default.
- W2963718592 created "2019-07-30" @default.
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- W2963718592 date "2018-11-01" @default.
- W2963718592 modified "2023-10-04" @default.
- W2963718592 title "A Generalized SXP Rule Proved by Bijections and Involutions" @default.
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- W2963718592 doi "https://doi.org/10.1007/s00026-018-0409-x" @default.
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