In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such representations have positive measure. The name comes from the fact that they are exactly the representations that occur discretely in the decomposition of the regular representation.
Read more about Discrete Series Representation: Properties, Semisimple Groups, Limit of Discrete Series Representations, Constructions of The Discrete Series
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