36 citations · 196 across the 42 of their papers we have counts for
23 papers · 1 filter
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…
Walks on Graphs and Their Connections with Tensor Invariants and Centralizer Algebras
Georgia Benkart, Dongho Moon
The number of walks of steps from the node to the node on the representation graph (McKay quiver) determined by a finite group and a -…
Cross products, invariants, and centralizers
Georgia Benkart, Alberto Elduque
An algebra with a cross product has dimension 3 or 7. In this work, we use 3-tangles to describe, and provide a basis for, the space of homomorphisms from $V^{\otimes…
Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups
Georgia Benkart, Tom Halverson, Nate Harman
The partition algebra and the symmetric group are in Schur-Weyl duality on the -fold tensor power of the permutation…