Results 131 to 140 of about 2,366 (219)

Convex cocompactness for Coxeter groups [PDF]

open access: yes
60 pages, 8 figuresInternational audienceWe investigate representations of Coxeter groups into GL(n,R) as geometric reflection groups which are convex cocompact in the projective space P(R^n).
Guéritaud, François   +4 more
core   +3 more sources

Rigidity of skew-angled Coxeter groups [PDF]

open access: yes, 2002
A Coxeter system is called skew-angled if its Coxeter matrix contains no entry equal to 2. In this paper we prove rigidity results for skew-angled Coxeter groups.
Bernhard Mühlherr, Richard Weidmann
core  

Cohomology And Euler Characteristics Of Coxeter Groups [PDF]

open access: yes, 2007
this paper, we discuss the cohomology and the Euler characteristics of (finitely generated) Coxeter groups. Our emphasis is on the role of the parabolic subgroups of finite order in both the Euler characteristics and the cohomology of Coxeter groups. The
Toshiyuki Akita
core  

Spacelike Singularities and Hidden Symmetries of Gravity

open access: yesLiving Reviews in Relativity, 2008
We review the intimate connection between (super-)gravity close to a spacelike singularity (the “BKL-limit”) and the theory of Lorentzian Kac-Moody algebras.
Henneaux Marc   +2 more
doaj  

Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

open access: yesForum of Mathematics, Sigma
In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
doaj   +1 more source

Involutions in Coxeter groups [PDF]

open access: yes
We combinatorially characterize the total number of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally generalizes the concept of odd graphs, used previously to count the number of conjugacy ...
Olga Varghese (21025285)   +3 more
core  

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