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- Blattners_conjecture abstract "In mathematics, Blattner's conjecture or Blattner's formula is a description of the discrete series representations of a general semisimple group G in terms of their restricted representations to a maximal compact subgroup K (their so-called K-types). Harish-Chandra orally attributed the conjecture to Robert J Blattner as a question Blattner raised, not a conjecture made by Blattner. Blattner did not publish it in any form. It first appeared in print in Schmid (1968, theorem 2), where it was first referred to as \"Blattner's Conjecture,\" despite the results of that paper having been obtained without knowledge of Blattner's question and notwithstanding Blattner's not having made such a conjecture. Okamoto & Ozeki (1967) mentioned a special case of it slightly earlier. Schmid (1972) proved Blattner's formula in some special cases, Schmid (1975a) showed that Blattner's formula gave an upper bound for the multiplicities of K-representations, Schmid (1975b) proved Blattner's conjecture for groups whose symmetric space is Hermitian, and Hecht & Schmid (1975) proved Blattner's conjecture for linear semisimple groups. Blattner's conjecture (formula) was also proved by Enright (1979) by infinitesimal methods which were totally new and completely different from those of Hecht and Schmid (1975). Part of the impetus for Enright’s paper (1979) came from several sources: from Enright and Varadarajan (1975), Wallach (1976), Enright and Wallach (1978). In Enright (1979) multiplicity formulae are given for the so-called mock-discrete series representations also. Enright (1978) used his ideas to obtain deep results on the construction and classification of irreducible Harish-Chandra modules of any real semisimple Lie algebra.".
- Blattners_conjecture wikiPageExternalLink 1200691817.
- Blattners_conjecture wikiPageID "2964127".
- Blattners_conjecture wikiPageLength "6848".
- Blattners_conjecture wikiPageOutDegree "19".
- Blattners_conjecture wikiPageRevisionID "696518138".
- Blattners_conjecture wikiPageWikiLink Acta_Mathematica.
- Blattners_conjecture wikiPageWikiLink Annales_Scientifiques_de_lxc3x89cole_Normale_Supxc3xa9rieure.
- Blattners_conjecture wikiPageWikiLink Annals_of_Mathematics.
- Blattners_conjecture wikiPageWikiLink Category:Conjectures.
- Blattners_conjecture wikiPageWikiLink Category:Representation_theory_of_Lie_groups.
- Blattners_conjecture wikiPageWikiLink Discrete_series_representation.
- Blattners_conjecture wikiPageWikiLink Harish-Chandra_module.
- Blattners_conjecture wikiPageWikiLink Inventiones_Mathematicae.
- Blattners_conjecture wikiPageWikiLink Mathematics.
- Blattners_conjecture wikiPageWikiLink Maximal_compact_subgroup.
- Blattners_conjecture wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Blattners_conjecture wikiPageWikiLink Restricted_representation.
- Blattners_conjecture wikiPageWikiLink Robert_James_Blattner.
- Blattners_conjecture wikiPageWikiLink Semisimple_algebraic_group.
- Blattners_conjecture wikiPageWikiLink Weyl_character_formula.
- Blattners_conjecture wikiPageWikiLinkText "Blattner's conjecture".
- Blattners_conjecture wikiPageUsesTemplate Template:Citation.
- Blattners_conjecture wikiPageUsesTemplate Template:Harvtxt.
- Blattners_conjecture wikiPageUsesTemplate Template:Overline.
- Blattners_conjecture subject Category:Conjectures.
- Blattners_conjecture subject Category:Representation_theory_of_Lie_groups.
- Blattners_conjecture hypernym Description.
- Blattners_conjecture type Stadium.
- Blattners_conjecture type Conjecture.
- Blattners_conjecture type Statement.
- Blattners_conjecture type Statement.
- Blattners_conjecture comment "In mathematics, Blattner's conjecture or Blattner's formula is a description of the discrete series representations of a general semisimple group G in terms of their restricted representations to a maximal compact subgroup K (their so-called K-types). Harish-Chandra orally attributed the conjecture to Robert J Blattner as a question Blattner raised, not a conjecture made by Blattner. Blattner did not publish it in any form.".
- Blattners_conjecture label "Blattner's conjecture".
- Blattners_conjecture sameAs Q4925528.
- Blattners_conjecture sameAs m.08gfwn.
- Blattners_conjecture sameAs Q4925528.
- Blattners_conjecture wasDerivedFrom Blattners_conjecture?oldid=696518138.
- Blattners_conjecture isPrimaryTopicOf Blattners_conjecture.