Representation of Real Reductive Lie Groups
GPTKB entity
Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
real reductive Lie group
|
| gptkbp:field |
representation theory
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:Langlands_program differential geometry mathematical physics modular forms quantum mechanics spectral theory representation theory of p-adic groups |
| https://www.w3.org/2000/01/rdf-schema#label |
Representation of Real Reductive Lie Groups
|
| gptkbp:importantFor |
harmonic analysis
number theory automorphic forms |
| gptkbp:notablePerson |
gptkb:Harish-Chandra
gptkb:Robert_Langlands gptkb:Anthony_Knapp gptkb:David_Vogan gptkb:Nolan_Wallach gptkb:Wilfried_Schmid |
| gptkbp:relatedTo |
gptkb:Harish-Chandra_module
gptkb:Langlands_classification unitary representation discrete series representation principal series representation tempered representation |
| gptkbp:studies |
gptkb:Plancherel_formula
gptkb:Bernstein_center gptkb:Borel–Weil–Bott_theorem gptkb:Kazhdan–Lusztig_conjecture gptkb:D-modules Hecke algebras geometric representation theory orbit method induced representations irreducible representations cuspidal representations parabolic induction cohomological induction Cartan subgroups K-types admissible representations characters of representations infinitesimal character intertwining operators maximal compact subgroups homomorphisms from Lie groups to general linear groups spherical representations unipotent representations |
| gptkbp:bfsParent |
gptkb:David_A._Vogan,_Jr.
|
| gptkbp:bfsLayer |
7
|