Results 11 to 20 of about 42 (42)

Orthogonal roots, Macdonald representations, and quasiparabolic sets

Forum of Mathematics, Sigma
Let 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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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
core   +1 more source

Affine Bruhat order and Demazure products

Forum of Mathematics, Sigma
We 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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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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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
core  

A sheep in wolf’s clothing: from group theory to a novel antiviral strategy

, 2022
The recent pandemic has led to a particular interest in mathematical and computational virology. I have previously given an introduction to virus structure and assembly, in particular the group theory aspect of structure and the modelling aspects of ...
Dechant, Pierre-Philippe
core  

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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Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds. [PDF]

Discrete Comput Geom, 2023
Dotti E, Drewitz ST, Kellerhals R.
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Symmetric Jacobians

Open Mathematics, 2014
Bondt Michiel
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