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   Articles with "coxeter" as a keyword



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Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability

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recommendations! Published in 2017 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-018-3160-6

Abstract: A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz–Coxeter product, from the Riesz product on the Rademacher (Abelian Coxeter)… read more here.

Keywords: positive definite; definite functions; coxeter; operator spaces ... See more keywords
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Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve

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recommendations! Published in 2019 at "Topology and its Applications"

DOI: 10.1016/j.topol.2019.03.024

Abstract: Abstract Let ( W , S ) be a hyperbolic right-angled Coxeter system whose nerve is a 1-dimensional strongly co-connected simplicial complex, where “strongly co-connected” is defined in this paper. Then we provide characterizations of… read more here.

Keywords: hyperbolic right; coxeter groups; coxeter; groups boundaries ... See more keywords
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Coxeter exponents and orthogonal complements of highest roots

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recommendations! Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1723020

Abstract: Abstract In this note, we study the subroot system of an irreducible (reduced, crystallographic) root system obtained by taking the orthogonal complement of the highest root. We describe root theoretic data (the Coxeter number and… read more here.

Keywords: exponents orthogonal; complements highest; coxeter exponents; orthogonal complements ... See more keywords
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Computing reflection length in an affine Coxeter group

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recommendations! Published in 2018 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/7472

Abstract: In any Coxeter group, the conjugates of elements in the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called its reflection length. In… read more here.

Keywords: coxeter group; reflection length; affine coxeter; coxeter ... See more keywords