Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Schwer, Petra"'
We develop new and precise geometric descriptions of the conjugacy class $[x]$ and coconjugation set $\operatorname{C}(x,x') = \{ y \in \overline{W} \mid yxy^{-1} = x' \}$ for all elements $x,x'$ of any affine Coxeter group $\overline{W}$. The centra
Externí odkaz:
http://arxiv.org/abs/2407.08080
We describe the geometry of conjugation within any split subgroup $H$ of the full isometry group $G$ of $n$-dimensional Euclidean space. We prove that for any $h \in H$, the conjugacy class $[h]_H$ of $h$ is described geometrically by the move-set of
Externí odkaz:
http://arxiv.org/abs/2407.08078
We combinatorially characterize the number $\mathrm{cc}_2$ of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally generalizes the concept of odd graphs, used previously to count the number o
Externí odkaz:
http://arxiv.org/abs/2404.03283
Autor:
Rego, Yuri Santos, Schwer, Petra
In this paper we introduce the galaxy of Coxeter groups -- an infinite dimensional, locally finite, ranked simplicial complex which captures isomorphisms between Coxeter systems. In doing so, we would like to suggest a new framework to study the isom
Externí odkaz:
http://arxiv.org/abs/2211.17038
Publikováno v:
Innov. Incidence Geom. 20 (2023) 395-430
This paper determines the relationship between the geometry of retractions and the combinatorics of folded galleries for arbitrary affine buildings, and so provides a unified framework to study orbits in affine flag varieties. We introduce the notion
Externí odkaz:
http://arxiv.org/abs/2207.12923
Autor:
Santos Rego, Yuri, Schwer, Petra
Publikováno v:
In Journal of Algebra 15 October 2024 656:406-445
We present a new method to identify connected components on triangular grids used in atmosphere and climate models to discretize the horizontal dimension. In contrast to structured latitude-longitude grids, triangular grids are unstructured and the n
Externí odkaz:
http://arxiv.org/abs/2111.13761
Autor:
Schwer, Petra
This survey is about combinatorial objects related to reflection groups and their applications in representation theory and arithmetic geometry. Coxeter groups and folded galleries in Coxeter complexes are introduced in detail and illustrated by exam
Externí odkaz:
http://arxiv.org/abs/2109.02293
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety $X_x(b)$ in the affine flag variety in terms of galleries that are positively folded with respect to a chimney. If the parabolic subgroup associated to the
Externí odkaz:
http://arxiv.org/abs/2006.16288
In this work we describe horofunction compactifications of metric spaces and finite dimensional real vector spaces through asymmetric metrics and asymmetric polyhedral norms by means of nonstandard methods, that is, ultrapowers of the spaces at hand.
Externí odkaz:
http://arxiv.org/abs/2002.12422