Wednesday, January 22 2020
11:30 - 13:00

Alladi Ramakrishnan Hall

The Multiset Partition Algebra

Digjoy Paul


We introduce and study a new diagram algebra called the multiset partition algebra. It generalizes the partition algebra of Jones and Martin. It is the centralizer of the symmetric group in a space of symmetric tensors. We prove that this algebra is cellular and determine conditions for its semisimplicity. This is based on joint work with Shraddha Srivastava and Sridhar P Narayanan.

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