4 papers
Deformations of the Weyl Character Formula for via Ice Models
Yulia Alexandr, Patricia Commins, Alexandra Embry +3
We explore combinatorial formulas for deformations of highest weight characters of the odd orthogonal group . Our goal is to represent these deformations of characters as…
Convolution Algebras for Finite Reductive Monoids
Jared Marx-Kuo, Vaughan McDonald, John M. O'Brien +1
For an arbitrary finite monoid and subgroup of the unit group of , we prove that there is a bijection between irreducible representations of with nontrivial -fixe…
Characters of Renner Monoids and Their Hecke Algebras
Andy Hardt, Jared Marx-Kuo, Vaughan McDonald +2
This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook…
Batch Codes from Hamming and Reed-Müller Codes
Travis Baumbaugh, Yariana Diaz, Sophia Friesenhahn +2
Batch codes, introduced by Ishai et al. encode a string into an -tuple of strings, called buckets. In this paper we consider multiset batch codes wherein a set of…