Results 31 to 40 of about 18,865 (173)

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Polar orthogonal representations of real reductive algebraic groups

, 2008
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space.
Geatti, Laura, Gorodski, Claudio
core   +2 more sources

On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
wiley   +1 more source

Dirac cohomology, elliptic representations and endoscopy

, 2015
The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part ...
A W Knapp, B Boe, B Kostant, B Kostant, B Kostant, C.-P. Dong, C.-P. Dong, D A Vogan Jr, D A Vogan Jr, D A Vogan Jr, D Barbasch, D Ciubotaru, D Renard, D Shelstad, D Shelstad, D Shelstad, D Shelstad, J Adams, J Adams, J Arthur, J Arthur, J Bernstein, J.-P. Labesse, J.-P. Labesse, J.-S Huang, J.-S Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, N R Wallach, R P Langlands, R P Langlands, R Parthasarathy, S A Salamanca-Riba, S Kumar, S Mehdi, S Mehdi, T Enright, V G Kac   +40 more
core   +2 more sources

Functorial constructions related to double Poisson vertex algebras

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec, Maxime Fairon, Anne Moreau   +2 more
wiley   +1 more source

Higgs bundles and higher Teichm\"uller spaces

, 2019
This paper is a survey on the role of Higgs bundle theory in the study of higher Teichm\"uller spaces. Recall that the Teichm\"uller space of a compact surface can be identified with a certain connected component of the moduli space of representations of
García-Prada, Oscar
core   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley   +1 more source

On defining characteristic representations of finite reductive groups

, 2013
We give parameterizations of the irreducible representations of finite groups of Lie type in their defining ...
Brunat, Olivier, Lübeck, Frank
core   +1 more source

The diagonal p$p$‐permutation functor kRk$kR_k$

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let k$k$ be an algebraically closed field of positive characteristic p$p$. We describe the full lattice of subfunctors of the diagonal p$p$‐permutation functor kRk$kR_k$ obtained by k$k$‐linear extension from the functor Rk$R_k$ of linear representations over k$k$. This leads to the description of the “composition factors” SP$S_P$ of kRk$kR_k$,
Serge Bouc
wiley   +1 more source