Minimal K-type

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In mathematics, a minimal K-type is a representation of a maximal compact subgroup K of a semisimple Lie group G that is in some sense the smallest representation of K occurring in a Harish-Chandra module of G. Minimal K-types were introduced by Vogan [1] as part of an algebraic description of the Langlands classification.

References

  1. Vogan, David A. (January 1979). "The Algebraic Structure of the Representations of Semisimple Lie Groups I". The Annals of Mathematics. 109 (1): 1. doi:10.2307/1971266.