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arXiv · 1906.07146

Interpolating between promotion and the long cycle

Bruce W. Westbury
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Abstract

We give a new proof of the cyclic sieving phenomena for promotion on rectangular standard tableaux. This uses an action of the cactus groups in the seminormal bases of the irreducible representations of the Hecke algebras.

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Bruce W. Westbury. 2019-06-17. Interpolating between promotion and the long cycle. https://arxiv.org/abs/1906.07146

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