36 citations · 196 across the 42 of their papers we have counts for
49 papers
Tensor Representations for the Drinfeld Double of the Taft Algebra
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
Over an algebraically closed field of characteristic zero, the Drinfeld double of the Taft algebra that is defined using a primitive th root of unity $q \in \m…
McKay Matrices for Finite-dimensional Hopf Algebras
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
For a finite-dimensional Hopf algebra , the McKay matrix of an -module encodes the relations for tensoring the simple -modules with . We prove results about t…
Tensor Product Markov Chains
Georgia Benkart, Persi Diaconis, Martin W. Liebeck +1
We analyze families of Markov chains that arise from decomposing tensor products of irreducible representations. This illuminates the Burnside-Brauer Theorem for building irreducib…
Partition Algebras and the Invariant Theory of the Symmetric Group
Georgia Benkart, Tom Halverson
The symmetric group and the partition algebra centralize one another in their actions on the -fold tensor power of th…
Partition algebras with and the fundamental theorems of invariant theory for the symmetric group
Georgia Benkart, Tom Halverson
Assume is the -dimensional permutation module for the symmetric group , and let be its -fold tensor power. The partiti…
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…