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arXiv · 1908.03028

Branching rules for cell modules on a tower of the partition algebras

Pei Wang
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Abstract

Partition algebras with non-zero parameters are cellularly stratified and thus have the features of both cellular algebras and stratified algebras. Also, partition algebras form a tower of algebras. In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a tower of the partition algebras. This also allows us to calculate the structure constants of the Grothendieck ring of the tower.

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Pei Wang. 2019-08-08. Branching rules for cell modules on a tower of the partition algebras. https://arxiv.org/abs/1908.03028

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