nLab
Harish-Chandra module

Contents

Idea

A kind of module/representation over a pair consisting of a semisimple Lie algebra and an algebraic group.

References

  • wikipedia: (g,K)-module, Harish-Chandra module

  • David Vogan, Jr., Unitary Representations of Reductive Lie Groups, Annals of Mathematics Studies 118, Princeton Univ. Press 1987

  • A. W. Knapp, D. A. Vogan, Cohomological induction and unitary representations, Princeton Univ. Press, 1995.

  • Harish-Chandra, Representations of semi-simple lie groups I, Trans. Amer. Math. Soc. 75, 185–243, 1953; II, Trans. AMS 76, 26–65, 1954; III, Trans. AMS 76, 245–253, 1954.

  • Fabian Januszewski, Algebraic characters for Harish-Chandra modules, arxiv/1201.2447

Revised on November 25, 2012 04:42:33 by Urs Schreiber (82.113.121.223)