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- Q4925528 subject Q6248542.
- Q4925528 subject Q8653251.
- Q4925528 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.".
- Q4925528 wikiPageExternalLink 1200691817.
- Q4925528 wikiPageWikiLink Q1146531.
- Q4925528 wikiPageWikiLink Q32229.
- Q4925528 wikiPageWikiLink Q343171.
- Q4925528 wikiPageWikiLink Q395.
- Q4925528 wikiPageWikiLink Q4767821.
- Q4925528 wikiPageWikiLink Q5282059.
- Q4925528 wikiPageWikiLink Q564426.
- Q4925528 wikiPageWikiLink Q5657841.
- Q4925528 wikiPageWikiLink Q6248542.
- Q4925528 wikiPageWikiLink Q6795635.
- Q4925528 wikiPageWikiLink Q7316307.
- Q4925528 wikiPageWikiLink Q7346032.
- Q4925528 wikiPageWikiLink Q7449661.
- Q4925528 wikiPageWikiLink Q7990328.
- Q4925528 wikiPageWikiLink Q8653251.
- Q4925528 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.".
- Q4925528 label "Blattner's conjecture".