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A set partition analogue of partition and tableaux combinatorics

Algebra & Discrete Mathematics

Speaker: Megan Ly, University of Colorado Boulder
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Location: 1147 MSB
Start time: Mon, Dec 4 2017, 4:15PM

The character theory of the group of unipotent upper triangular matrices over a finite field is known to be unattainable. Thus we employ a generalization, known as supercharacter theory, to create a striking variation on the character theory of the symmetric group with combinatorics based on set partitions. We investigate these combinatorics and their applications to Schur--Weyl duality to construct a unipotent analogue to the partition algebra.