Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Pfeiffer, Goetz"'
Autor:
Chavli, Eirini, Pfeiffer, Götz
We provide a dual version of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case. For the eight complex reflection groups of rank $2$, for which the symmetrising trace conjecture is known to be tr
Externí odkaz:
http://arxiv.org/abs/2112.10853
Autor:
Hellebrandt, Linus, Pfeiffer, Götz
A Coxeter group of classical type $A_n$, $B_n$ or $D_n$ contains a chain of subgroups of the same type. We show that intersections of conjugates of these subgroups are again of the same type, and make precise in which sense and to what extent this pr
Externí odkaz:
http://arxiv.org/abs/2109.01473
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 permutes the hyperplanes in A. In this paper we study invariants and semi-
Externí odkaz:
http://arxiv.org/abs/2009.12847
We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group $W$. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit basis of the space of $
Externí odkaz:
http://arxiv.org/abs/1810.02563
Autor:
Pfeiffer, Götz, Randriamaro, Hery
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, however, not possible to use this factorization to compute a Varchenko d
Externí odkaz:
http://arxiv.org/abs/1711.01146
Autor:
Masterson, Brendan, Pfeiffer, Götz
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 marks is not simply the Kronecker product of the tables of marks of t
Externí odkaz:
http://arxiv.org/abs/1704.03433
Autor:
Burns, John M., Pfeiffer, Goetz
In this note we give a classification of the Maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analogue of Cartan's theorem that all maximal tori in a connected compact Lie group are conjugate.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/1601.07812
We present new efficient data structures for elements of Coxeter groups of type $A_m$ and their associated Iwahori--Hecke algebras $H(A_m)$. Usually, elements of $H(A_m)$ are represented as simple coefficient list of length $M = (m+1)!$ with respect
Externí odkaz:
http://arxiv.org/abs/1512.05319
Publikováno v:
In Journal of Algebra 15 September 2020 558:336-349
Autor:
Marin, Ivan, Pfeiffer, Goetz
We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.
Comment: 20 pages. Version 2 : the last remaining case (G3
Comment: 20 pages. Version 2 : the last remaining case (G3
Externí odkaz:
http://arxiv.org/abs/1411.4760