Results 21 to 30 of about 18,865 (173)
Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core +3 more sources
Complex quantum groups and a deformation of the Baum-Connes assembly map [PDF]
, 2018 We define and study an analogue of the Baum-Connes assembly map for complex semisimple quantum groups, that is, Drinfeld doubles of $ q $-deformations of compact semisimple Lie groups.
Monk, Andrew, Voigt, Christian
core +2 more sources
Geometry applications of irreducible representations of Lie Groups [PDF]
, 2010 In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Di Scala, Antonio Jose' +2 more
core +1 more source
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
Yang-Mills theory for non-semisimple groups [PDF]
, 2002 For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can be larger ...
C.N. Yang +4 more
core +2 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
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 +2 more
core +1 more source
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, EarlyView.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
Curves of best approximation on wonderful varieties
Bulletin of the London Mathematical Society, EarlyView.Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
Mass, zero mass and ... nophysics
, 2017 In this paper we demonstrate that massless particles cannot be considered as limiting case of massive particles. Instead, the usual symmetry structure based on semisimple groups like $U(1)$, $SU(2)$ and $SU(3)$ has to be replaced by less usual solvable ...
Groote, S., Saar, R.
core +1 more source