1 citations · 1 across the 4 of their papers we have counts for
4 papers
Expanding quasisymmetric Schur -functions into peak Young quasisymmetric Schur functions
Dominic Searles, Matthew Slattery-Holmes
The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur -functions and…
0-Hecke Modules, Domino Tableaux, and Type- 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 …
Weak Bruhat interval modules of finite-type -Hecke algebras and projective covers
Joshua Bardwell, Dominic Searles
We extend the recently-introduced weak Bruhat interval modules of the type A -Hecke algebra to all finite Coxeter types. We determine, in a type-independent manner, structural p…
Noncoherent initial ideals in exterior algebras
Dominic Searles, Arkadii Slinko
We construct a noncoherent initial ideal of an ideal in the exterior algebra of order 6, answering a question of D. Maclagan (2000). We also give a method for constructing noncoher…