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A set partition analogue of partition and tableaux combinatorics
Algebra & Discrete Mathematics| Speaker: | Megan Ly, University of Colorado Boulder |
| Related Webpage: | http://euclid.colorado.edu/~mely6744/ |
| 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.