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arXiv · 1607.08495

Simple modules for the partition algebra and monotone convergence of Kronecker coefficients

C. Bowman·M. De Visscher·J. Enyang
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Abstract

We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) of the monotone convergence property for Kronecker coefficients using stratifications of the cell modules of the partition algebra.

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C. Bowman, M. De Visscher, J. Enyang. 2016-07-28. Simple modules for the partition algebra and monotone convergence of Kronecker coefficients. https://arxiv.org/abs/1607.08495

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