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Long fully commutative elements in affine Coxeter groups

open access: yes, 2014
An element of a Coxeter group $W$ is called fully commutative if any two of its reduced decompositions can be related by a series of transpositions of adjacent commuting generators. In the preprint "Fully commutative elements in finite and affine Coxeter
Jouhet, Frédéric, Nadeau, Philippe
core  

Liouville Theorem for Dunkl Polyharmonic Functions

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Assume that $f$ is Dunkl polyharmonic in $mathbb{R}^n$ (i.e. $(Delta_h)^p f=0$ for some integer $p$, where $Delta_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multiplicity function $kappa$, defined on $R$ and invariant with respect ...
Guangbin Ren, Liang Liu
doaj   +1 more source

Coxeter groups are biautomatic [PDF]

open access: green, 2022
Damian Osajda, Piotr Przytycki
openalex   +1 more source

A topological proof of the modified Euler characteristic based on the orbifold concept. [PDF]

open access: yesActa Crystallogr A Found Adv, 2021
Naskręcki B, Dauter Z, Jaskolski M.
europepmc   +1 more source

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