Outputs (2)

On volumes of arithmetic quotients of SO(1, n) (2004)
Journal Article
Belolipetsky, M. (2004). On volumes of arithmetic quotients of SO(1, n). Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 3(4), 749-770

We apply G. Prasad's volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of SO(1,n). As a result we prove that for any even dimension n there exists a unique compact... Read More about On volumes of arithmetic quotients of SO(1, n).

Cells and representations of right-angled Coxeter groups (2004)
Journal Article
Belolipetsky, M. (2004). Cells and representations of right-angled Coxeter groups. Selecta Mathematica (New Series), 10(3), 325-339. https://doi.org/10.1007/s00029-004-0355-9

We study Kazhdan–Lusztig cells and the corresponding representations of right-angled Coxeter groups and Hecke algebras associated to them. In case of the infinite groups generated by reflections in the hyperbolic plane about the sides of right-angled... Read More about Cells and representations of right-angled Coxeter groups.