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arXiv:1908.03028 [math.RT]AbstractReferencesReviewsResources

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

Pei Wang

Published 2019-08-08Version 1

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.

Comments: 22 pages
Categories: math.RT, math.QA, math.RA
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