8 citations · 20 across the 8 of their papers we have counts for
12 papers
Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products
J. Matthew Douglass, Götz Pfeiffer, Gerhard Roehrle
We revisit the structure of the normalizer of a parabolic subgroup in a finite Coxeter group , originally described by Howlett. Building on Howlett's Lemma, which p…
On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical Type
Linus Hellebrandt, Götz Pfeiffer
A Coxeter group of classical type , or contains a chain of subgroups of the same type. We show that intersections of conjugates of these subgroups are again of the…
Invariants and semi-invariants in the cohomology of the complement of a reflection arrangement
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
Suppose V is a finite dimensional, complex vector space, A is a finite set of codimension one subspaces of V, and G is a finite subgroup of the general linear group GL(V) that perm…
The Varchenko Determinant of a Coxeter Arrangement
Götz Pfeiffer, Hery Randriamaro
The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, ho…
On the Table of Marks of a Direct Product of Finite Groups
Brendan Masterson, Götz Pfeiffer
We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of…
On the Complexity of Multiplication in the Iwahori--Hecke Algebra of the Symmetric Group
Alice C. Niemeyer, Götz Pfeiffer, Cheryl E. Praeger
We present new efficient data structures for elements of Coxeter groups of type and their associated Iwahori--Hecke algebras . Usually, elements of are repre…