Results 41 to 50 of about 1,525 (197)
Rickard's derived Morita theory: Review and outlook
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso +2 more
wiley +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Polarizations and Nullcone of Representations of Reductive Groups [PDF]
, 2009 The paper starts with the following simple observation. Let V be a representation of a reductive group G, and let f_1,f_2,...,f_n be homogeneous invariant functions. Then the polarizations of f_1,f_2,...,f_n define the nullcone of k 0} h(t) x = 0 for all
Kraft, Hanspeter +3 more
core +1 more source
Livšic's theorem for semisimple Lie groups
Ergodic Theory and Dynamical Systems, 2001 The authors show a Livšic theorem for cocycles of transitive Anosov diffeomorphisms taking values in a connected non-compact linear semisimple Lie group \(G\). Namely, let \(T:M\to M\) be such a diffeomorphism and let \(g:M\to G\) be a map of class \(C^k(k\geq 1)\) with the additional property that ...
Nicol, Matthew, Pollicott, Mark
openaire +4 more sources
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
wiley +1 more source
Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions [PDF]
, 1992 An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г.
Qian, Nantian
core +1 more source
Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
A pointwise ergodic theorem for Fuchsian groups [PDF]
, 2010 We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I. +3 more
core +1 more source
Exactness and the topology of the space of invariant random equivalence relations
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We characterize exactness of a countable group Γ$\Gamma$ in terms of invariant random equivalence relations (IREs) on Γ$\Gamma$. Specifically, we show that Γ$\Gamma$ is exact if and only if every weak limit of finite IREs is an amenable IRE.
Héctor Jardón‐Sánchez +3 more
wiley +1 more source
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
wiley +1 more source