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), formulated by R. J. Blattner. At the time, direct constructions of the discrete series were not known. The conjecture was proved by Hecht and Schmid in 1975. The result is now often known as the Blattner formula.

[edit] Reference

  • H. Hecht and W. Schmid, A proof of Blattner's conjecture, Invent. Math., 31 (1975), 129-154
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