Representation theory of Lie groups

Harish-Chandra module

In mathematics, specifically in the representation theory of Lie groups, a Harish-Chandra module, named after the Indian mathematician and physicist Harish-Chandra, is a representation of a real Lie group, associated to a general representation, with regularity and finiteness conditions. When the associated representation is a -module, then its Harish-Chandra module is a representation with desirable factorization properties. (Wikipedia).

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Related pages

Lie group | Admissible representation | Hilbert space | Subgroup | Mathematics | K-finite | (g,K)-module | Unitary representation