Results 11 to 20 of about 49 (39)
Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]
, 2012 We calculate the growth functions of noncompact 3-dimensional hyperbolic Coxeter groups with 4 and 5 generators.Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY / edited by Kiyoko ...
小森, 洋平, 梅本, 悠莉子
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Fundamental simplices with outer vertices for hyperbolic groups and their group extensions for truncations [PDF]
, 2010 There are investigated supergroups of some hyperbolic space groups with simplicial fundamental domain. If the vertices of these simplices are out of the absolute, we can truncate them by polar planes of the vertices and the new polyhedra are fundamental ...
Milica Stojanovic, Stojanović, Milica
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Bender–Knuth Billiards in Coxeter Groups
Forum of Mathematics, SigmaLet $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley +4 more
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Orthogonal roots, Macdonald representations, and quasiparabolic sets
Forum of Mathematics, SigmaLet W be a simply laced Weyl group of finite type and rank n. If W has type $E_7$ , $E_8$ or $D_n$ for n even, then the root system of W has subsystems of type $nA_1$ .
R. M. Green, Tianyuan Xu
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Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements
, 2017 MSC: 20F55; 51F15; 52C35; 14N20; 32S22; 51D20Research in Pairs 2017Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free ...
Hoge, Torsten, Röhrle, Gerhard
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Differential Operators on G(r,n)-Invariant Functions
Abstract and Applied AnalysisMSC2020 Classification: 13A50, 20F55, 16S32, 05E05, 14L24.
Ferdinand Kafando +2 more
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Affine Bruhat order and Demazure products
Forum of Mathematics, SigmaWe give new descriptions of the Bruhat order and Demazure products of affine Weyl groups in terms of the weight function of the quantum Bruhat graph.
Felix Schremmer
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Noncrossing partitions of an annulus [PDF]
The noncrossing partition poset associated to a Coxeter group \(W\) and Coxeter element \(c\) is the interval \([1,c]_T\) in the absolute order on \(W\).
Brestensky, Laura G., Reading, Nathan
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A Geometrical Construction for the Polynomial Invariants of some Reflection Groups [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 20F55, 13F20; Secondary 14L30.We construct invariant polynomials for the reflection groups [3, 4, 3] and [3, 3, 5] by using some special sets of lines on the quadric P1 × P1 in P3.
Sarti, Alessandra
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Combinatorial descriptions of biclosed sets in affine type [PDF]
Let \(W\) be a Coxeter group and let \(\Phi^+\) be the positive roots. A subset \(B\) of \(\Phi^+\) is called "biclosed" if, whenever we have roots \(\alpha\), \(\beta\) and \(\gamma\) with \(\gamma \in \mathbb{R}_{›0} \alpha + \mathbb{R}_{›0} \beta ...
Barkley, Grant T., Speyer, David E
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