Results 81 to 90 of about 290 (179)

Thin hyperbolic reflection groups

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2498-2508, August 2025.
Abstract We study a family of Zariski dense finitely generated discrete subgroups of Isom(Hd)$\mathrm{Isom}(\mathbb {H}^d)$, d⩾2$d \geqslant 2$, defined by the following property: any group in this family contains at least one reflection in a hyperplane. As an application, we obtain a general description of all thin hyperbolic reflection groups.
Nikolay Bogachev, Alexander Kolpakov
wiley   +1 more source

Global bases for Bosonic extensions of quantum unipotent coordinate rings

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract In the paper, we establish the global basis theory for the bosonic extension Â$\widehat{\mathcal {A}}$ associated with an arbitrary symmetrizable generalized Cartan matrix. When Â$\widehat{\mathcal {A}}$ is of simply laced finite type, Â$\widehat{\mathcal {A}}$ is isomorphic to the quantum Grothendieck ring Kq(Cg0)$\mathcal {K}_q(\mathcal ...
Masaki Kashiwara   +3 more
wiley   +1 more source

Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds. [PDF]

open access: yesDiscrete Comput Geom, 2023
Dotti E, Drewitz ST, Kellerhals R.
europepmc   +1 more source

The 𝐶-Version Segal-Bargmann Transform for Finite Coxeter Groups Defined by the Restriction Principle

open access: yesAdvances in Mathematical Physics, 2011
We apply a special case, the restriction principle (for which we give a definition simpler than the usual one), of a basic result in functional analysis (the polar decomposition of an operator) in order to define 𝐶𝜇,𝑡, the 𝐶-version of the Segal-Bargmann
Stephen Bruce Sontz
doaj   +1 more source

From Coxeter higher-spin theories to strings and tensor models

open access: yesJournal of High Energy Physics, 2018
A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the B p -models. The cases of B 1 and its infinite graded-symmetric product sym (×B 1)∞ correspond to the usual higher-spin theory and its ...
M. A. Vasiliev
doaj   +1 more source

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

open access: yesForum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +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

M-theory, black holes and cosmology. [PDF]

open access: yesProc Math Phys Eng Sci, 2021
Kallosh R.
europepmc   +1 more source

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