5 citations · 9 across the 10 of their papers we have counts for
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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…
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…
Orbital Varieties and Unipotent Representations
Thomas Pietraho
Using the notion of a Lagrangian covering, W. Graham and D. Vogan proposed a method of constructing representations from the coadjoint orbits for a complex semisimple Lie group …
Components of the Springer Fiber and Domino Tableaux
Thomas Pietraho
Consider a complex classical semi-simple Lie group along with the set of its nilpotent coadjoint orbits. When the group is of type A, the set of orbital varieties contained in a gi…