5 citations · 9 across the 10 of their papers we have counts for
10 papers
Kazhdan-Lusztig left cells in type for intermediate parameters
Edmund Howse, Thomas Pietraho
Using a characterization of a generalized -invariant for intermediate parameter Hecke algebras in type , we verify a conjectural description of Kazhdan-Lusztig cells in thi…
On the sign representations for the complex reflection groups
Aba Mbirika, Thomas Pietraho, William Silver
We present a formula for the values of the sign representations of the complex reflection groups in terms of its image under a generalized Robinson-Schensted map.
Sign under the domino Robinson-Schensted maps
Thomas Pietraho
We generalize a formula obtained independently by A. Reifegerste and J. Sjöstrand for the sign of a permutation under the classical Robinson-Schensted map to a family of domino Rob…
Module structure of cells in unequal parameter Hecke algebras
Thomas Pietraho
A conjecture of C. Bonnafé, M. Geck, L. Iancu, and T. Lam parameterizes Kazhdan-Lusztig left cells for unequal parameter Hecke algebras in type by families of standard domino…
Knuth Relations for the Hyperoctahedral Groups
Thomas Pietraho
C. Bonnaf{é}, M. Geck, L. Iancu, and T. Lam have conjectured a description of one-sided cells in unequal parameter Hecke algebras of type which is based on domino tableaux of a…
Cells and Constructible Representations in type B
Thomas Pietraho
We examine the partition of a finite Coxeter group of type into cells determined by a weight function . The main objective of these notes is to reconcile Lusztig's descripti…