Results 21 to 30 of about 20,297 (176)

Equicontinuous actions of semisimple groups

, 2017
We study equicontinuous actions of semisimple groups and some generalizations. We prove that any such action is universally closed, and in particular proper.
Bader, Uri, Gelander, Tsachik
core   +1 more source

The Largest Irreducible Representations of Simple Groups

, 2010
Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the smaller degrees.
Larsen, Michael, Malle, Gunter, Tiep, Pham Huu   +2 more
core   +1 more source

Representations of Weyl groups and their Hecke algebras on virtual character modules of a semisimple Lie group

Kyoto Journal of Mathematics, 1987
Let G be a connected semisimple Lie group with finite center and \({\mathfrak g}\) its Lie algebra. In a preceeding paper [J. Math. Soc. Japan 37, 719- 740 (1985; Zbl 0589.22012)], we defined a Weyl group action on virtual character modules with regular infinitesimal characters (recall that a virtual character is by definition a linear combination of ...
openaire   +3 more sources

On uniform lattices in real semisimple groups

, 2015
In this article we prove that the co-compactness of the arithmetic lattices in a connected semisimple real Lie group is preserved if the lattices under consideration are representation equivalent.
Bhagwat, Chandrasheel, Pisolkar, Supriya
core   +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

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

Algebraic Families of Groups and Commuting Involutions

, 2017
Let $G$ be a complex affine algebraic group, and let $\sigma_1$ and $\sigma_2$ be commuting anti-holomorphic involutions of $G$. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that
Barbasch, Dan, Higson, Nigel, Subag, Eyal   +2 more
core   +1 more source

A constructive method for decomposing real representations [PDF]

, 2020
A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example.
Ali, Sajid, Azad, Hassan, Biswas, Indranil, de Graaf, Willem A.   +3 more
core   +2 more sources

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source