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Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case

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Developments and Retrospectives in Lie Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 37))

Abstract

In this paper we develop a geometric approach to the study of the category of Whittaker modules. As an application, we reprove a well-known result of B. Kostant on the structure of the category of nondegenerate Whittaker modules.

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Notes

  1. 1.

    One of us learned this argument to prove Kostant’s result from Wilfried Schmid in 1977.

References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Dragan Miličić

  2. Universität Freiburg, Mathematisches Institut, Eckerstraβe 1, D-79104, Freiburg, Germany

    Wolfgang Soergel

Authors
  1. Dragan Miličić
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  2. Wolfgang Soergel
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Corresponding author

Correspondence to Dragan Miličić .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California, Santa Cruz, Santa Cruz, California, USA

    Geoffrey Mason

  2. School of Engineering and Science, Jacobs University, Bremen, Germany

    Ivan Penkov

  3. Department of Mathematics, University of California, Berkeley, Berkeley, California, USA

    Joseph A. Wolf

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Miličić, D., Soergel, W. (2014). Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case. In: Mason, G., Penkov, I., Wolf, J. (eds) Developments and Retrospectives in Lie Theory. Developments in Mathematics, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-319-09934-7_7

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