Determinants of representations of Coxeter groups
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-018-0842-2
Abstract: In Ayyer et al. (J Comb Theory Ser A 150:208–232, 2017), the authors characterize the partitions of n whose corresponding representations of $$S_n$$Sn have nontrivial determinant. The present paper extends this work to all irreducible… read more here.
Keywords: representations coxeter; determinants representations; coxeter groups;
Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve
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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
DISTRIBUTION OF ACCUMULATION POINTS OF ROOTS FOR TYPE (n - 1, 1) COXETER GROUPS
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DOI: 10.1017/nmj.2018.5
Abstract: In this paper, we investigate the set of accumulation points of normalized roots of infinite Coxeter groups for certain class of their action. Concretely, we prove the conjecture proposed in [6, Section 3.2] in the… read more here.
Keywords: accumulation; coxeter groups; points roots; accumulation points ... See more keywords
Anti-de Sitter strictly GHC-regular groups which are not lattices
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DOI: 10.1090/tran/7530
Abstract: For $d=4, 5, 6, 7, 8$, we exhibit examples of $\mathrm{AdS}^{d,1}$ strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space $\mathbb{H}^d$, nor to any symmetric space. This provides a negative answer to Question… read more here.
Keywords: regular groups; coxeter groups; strictly ghc; anti sitter ... See more keywords
Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups
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DOI: 10.4153/cjm-2018-034-0
Abstract: Abstract In this paper we construct an abelian category of mixed perverse sheaves attached to any realization of a Coxeter group, in terms of the associated Elias–Williamson diagrammatic category. This construction extends previous work of… read more here.
Keywords: varieties coxeter; coxeter groups; mixed perverse; sheaves flag ... See more keywords