Results 41 to 50 of about 1,532 (216)

Local Second Order Sobolev Regularity for p-Laplacian Equation in Semi-Simple Lie Group

Mathematics
In this paper, we establish a structural inequality of the ∞-subLaplacian ▵0,∞ in a class of the semi-simple Lie group endowed with the horizontal vector fields X1,…,X2n.
Chengwei Yu, Yue Zeng
doaj   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

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, Henning Krause, Sibylle Schroll   +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

Cycle Intersection for SOp,q-Flag Domains

International Journal of Mathematics and Mathematical Sciences, 2020
A real form G0 of a complex semisimple Lie group G has only finitely many orbits in any given compact G-homogeneous projective algebraic manifold Z=G/Q.
Faten Abu Shoga
doaj   +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

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

Eigenfunction Expansions of Functions Describing Systems with Symmetries

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group $G$.
Ivan Kachuryk, Anatoliy Klimyk
doaj  

An Lp−Lq version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups

International Journal of Mathematics and Mathematical Sciences, 2004
We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. We prove an Lp−Lq version of Hardy's theorem for the spherical Fourier transform on G.
S. Ben Farah, K. Mokni, K. Trimèche
doaj   +1 more source