About: Discrete series representation

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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.

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  • 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. (en)
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  • 10487 (xsd:nonNegativeInteger)
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  • 1099657469 (xsd:integer)
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  • A.I. Shtern (en)
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  • Harish-Chandra (en)
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  • D/d033120 (en)
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  • Harish-Chandra (en)
dbp:title
  • Discrete series of representation (en)
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  • 1965 (xsd:integer)
  • 1966 (xsd:integer)
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  • 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. (en)
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  • Discrete series representation (en)
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