Minimal K-type

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): 1–60. doi:10.2307/1971266. JSTOR 1971266.


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