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- Complementary_series_representation abstract "In mathematics, complementary series representations of a reductive real or p-adic Lie groups are certain irreducible unitary representations that are not tempered and do not appear in the decomposition of the regular representation into irreducible representations. They are rather mysterious: they do not turn up very often, and seem to exist by accident. They were sometimes overlooked, in fact, in some earlier claims to have classified the irreducible unitary representations of certain groups. Several conjectures in mathematics, such as the Selberg conjecture, are equivalent to saying that certain representations are not complementary. For examples see the representation theory of SL2(R). Elias M. Stein (1972) constructed some families of them for higher rank groups using analytic continuation, sometimes called the Stein complementary series.".
- Complementary_series_representation wikiPageID "11118957".
- Complementary_series_representation wikiPageLength "1316".
- Complementary_series_representation wikiPageOutDegree "9".
- Complementary_series_representation wikiPageRevisionID "525874113".
- Complementary_series_representation wikiPageWikiLink Category:Representation_theory_of_groups.
- Complementary_series_representation wikiPageWikiLink Elias_M._Stein.
- Complementary_series_representation wikiPageWikiLink Lie_group.
- Complementary_series_representation wikiPageWikiLink Mathematics.
- Complementary_series_representation wikiPageWikiLink Regular_representation.
- Complementary_series_representation wikiPageWikiLink Representation_theory_of_SL2(R).
- Complementary_series_representation wikiPageWikiLink 4_conjecture.
- Complementary_series_representation wikiPageWikiLink Tempered_representation.
- Complementary_series_representation wikiPageWikiLink Unitary_representation.
- Complementary_series_representation wikiPageWikiLinkText "Complementary series representation".
- Complementary_series_representation wikiPageWikiLinkText "complementary series representation".
- Complementary_series_representation wikiPageWikiLinkText "complentary series".
- Complementary_series_representation author "A.I. Shtern".
- Complementary_series_representation id "C/c023680".
- Complementary_series_representation title "Complementary series".
- Complementary_series_representation wikiPageUsesTemplate Template:Algebra-stub.
- Complementary_series_representation wikiPageUsesTemplate Template:DOI.
- Complementary_series_representation wikiPageUsesTemplate Template:Springer.
- Complementary_series_representation subject Category:Representation_theory_of_groups.
- Complementary_series_representation hypernym Representations.
- Complementary_series_representation type Colour.
- Complementary_series_representation comment "In mathematics, complementary series representations of a reductive real or p-adic Lie groups are certain irreducible unitary representations that are not tempered and do not appear in the decomposition of the regular representation into irreducible representations. They are rather mysterious: they do not turn up very often, and seem to exist by accident. They were sometimes overlooked, in fact, in some earlier claims to have classified the irreducible unitary representations of certain groups.".
- Complementary_series_representation label "Complementary series representation".
- Complementary_series_representation sameAs Q5156429.
- Complementary_series_representation sameAs m.02r0mgr.
- Complementary_series_representation sameAs Q5156429.
- Complementary_series_representation wasDerivedFrom Complementary_series_representation?oldid=525874113.
- Complementary_series_representation isPrimaryTopicOf Complementary_series_representation.