Results 51 to 60 of about 342 (179)
Linearized Coxeter higher-spin theories
Journal of High Energy PhysicsA class of higher-spin gauge theories on AdS 4 associated with various Coxeter groups C $$ \mathcal{C} $$ is analyzed at the linear order. For a general C $$ \mathcal{C} $$ , a solution corresponding to the AdS 4 space and the form of the free unfolded ...
A. A. Tarusov +2 more
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Symmetries of Spin Calogero Models
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one symmetry algebra to a given ...
Vincent Caudrelier, Nicolas Crampé
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Coxeter Groups and Random Groups [PDF]
, 2019 For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection groups --- with the property that a random group at any density less than a half (or in the few relators model) contains quasiconvex subgroups commensurable with some member
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Coxeter groups and Kähler groups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2013 AbstractWe study homomorphisms from Kähler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embed into a Coxeter group or a right-angled Artin group. This is in contrast with the case ofrealhyperbolic lattices.
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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On the cohomology of Coxeter groups
Journal of Pure and Applied Algebra, 2001 See the review in Zbl 0943.20038.
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A categorification of combinatorial Auslander–Reiten quivers
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
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Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
Journal of Group Theory, 2023 Abstract By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
Paris, Luis, Varghese, Olga
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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On complete reducibility in characteristic $p$ [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $G$ be a reductive group over a field $k$ which is algebraically closed of characteristic $p \neq 0$. We prove a structure theorem for a class of subgroup schemes of $G$, for $p$ bounded below by the Coxeter number of $G$.
V. Balaji +2 more
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