Representation theory of Lie groups

Harish-Chandra character

In mathematics, the Harish-Chandra character, named after Harish-Chandra, of a representation of a semisimple Lie group G on a Hilbert space H is a distribution on the group G that is analogous to the character of a finite-dimensional representation of a compact group. (Wikipedia).

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Related pages

Trace class | Hilbert space | Locally integrable function | Universal enveloping algebra | Distribution (mathematics) | Infinitesimal character | Unitary representation | Harish-Chandra's regularity theorem | Compact group