Results 11 to 20 of about 20,297 (176)

Applications of the radon transform to representations of semisimple lie groups. [PDF]

Proc Natl Acad Sci U S A, 1969
Helgason S.
europepmc   +3 more sources

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

Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2)) [PDF]

, 2014
A. Vershik, M. Graev
semanticscholar   +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', Thomas Leistner, Thomas Neukichner   +2 more
core   +1 more source

Classification of the irreducible representations of semisimple Lie groups. [PDF]

Proc Natl Acad Sci U S A, 1977
Vogan DA.
europepmc   +3 more sources

One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.

, 1984
H. Schlichtkrull
semanticscholar   +3 more sources

Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups

Mathematische Zeitschrift, 2016
B. Speh, G. Zhang
semanticscholar   +3 more sources

Analytic Loops and Gauge Fields [PDF]

, 2001
In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find all nonassociative irreducible representations. We show that such
A Sagle, Acharya, Baulieu, Belavin, Bilge, Bruck, Corrigan, Cremmer, Crossman, Curtright, D'Auria, Donaldson, Dundarer, E.K. Loginov, Eilenberg, Elduque, Elduque, Englert, Fairlie, Faulkner, Figueroa-O'Farrill, Filippov, Floratos, Floratos, Floratos, Fubini, Gunaydin, Gursey, Harvey, Hull, Ivanova, Jacobson, Kerdman, Kuzmin, Kuzmin, Loginov, Lohmus, Malcev, McCrimmon, Sagle, Schafer, Schafer, Witten, Witten, Zhevlakov   +44 more
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

Semisimple types for p -adic classical groups [PDF]

, 2014
a
C Moeglin, CJ Bushnell, CJ Bushnell, CJ Bushnell, CJ Bushnell, F Shahidi, J-F Dat, L Blasco, L Blasco, L Morris, L Morris, Michitaka Miyauchi, P Broussous, P Broussous, RB Howlett, S Stevens, S Stevens, Shaun Stevens, V Sécherre   +18 more
core   +1 more source