Harish-Chandra module

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A Harish-Chandra module is a module for a pair (g,K), where g is a complex semisimple Lie algebra and K is a maximal compact subgroup.
gptkbp:field representation theory
https://www.w3.org/2000/01/rdf-schema#label Harish-Chandra module
gptkbp:importantFor classification of representations of real reductive Lie groups
gptkbp:introducedIn 20th century
gptkbp:namedAfter gptkb:Harish-Chandra
gptkbp:property K-finite
admissible
finitely generated
gptkbp:relatedTo gptkb:semisimple_Lie_group
gptkb:Lie_group
gptkbp:usedIn harmonic analysis
theory of unitary representations
gptkbp:bfsParent gptkb:Harish-Chandra
gptkbp:bfsLayer 5