Dominic Searles

activity

20232026

collaborators

3 papers

math.RT2026

Poset modules of the $0$ -Hecke algebras of type $B$

Young-Hun Kim, Dominic Searles

In 2001, Chow developed the theory of the $B_{n}$ posets $P$ and the type $B$ $P$ -partition enumerators $K_{P}^{B}$ . To provide a representation-theoretic interpretation of $K_{P}^{B}$ , we d…

math.CO2024

0-Hecke Modules, Domino Tableaux, and Type- $B$ Quasisymmetric Functions

Colin Defant, Dominic Searles

We extend the notion of ascent-compatibility from symmetric groups to all Coxeter groups, thereby providing a type-independent framework for constructing families of modules of $0$ …

math.RT2023

Weak Bruhat interval modules of finite-type $0$ -Hecke algebras and projective covers

Joshua Bardwell, Dominic Searles

We extend the recently-introduced weak Bruhat interval modules of the type A $0$ -Hecke algebra to all finite Coxeter types. We determine, in a type-independent manner, structural p…

Poset modules of the 0-Hecke algebras of type B

0-Hecke Modules, Domino Tableaux, and Type-B Quasisymmetric Functions

Weak Bruhat interval modules of finite-type 0-Hecke algebras and projective covers

Poset modules of the $0$ -Hecke algebras of type $B$

0-Hecke Modules, Domino Tableaux, and Type- $B$ Quasisymmetric Functions

Weak Bruhat interval modules of finite-type $0$ -Hecke algebras and projective covers