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Blattner's conjecture

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In mathematics, Blattner's conjecture was 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). At the time, direct constructions of the discrete series were not known. The conjecture was proved by Hecht and Schmid in 1975.

Reference

  • H. Hecht and W. Schmid, A proof of Blattner's conjecture, Invent.

Math., 31 (1975), 129-154