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Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups

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Lie Theory and Geometry

Part of the book series: Progress in Mathematics ((PM,volume 123))

Abstract

In this note, we describe proofs of certain conjectures on functorial, geometric constructions of representations of a reductive Lie group G R . Our methods have applications beyond the conjectures themselves: unified proofs of the basic properties of the maximal and minimal globalizations of Harish-Chandra modules, and a criterion which insures that the solutions of a G R -invariant system of linear differential equations constitute a representation of finite length.

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Author information

Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Masaki Kashiwara

  2. Department of Mathematics, Harvard University, 02138, Cambridge, MA, USA

    Wilfried Schmid

Authors
  1. Masaki Kashiwara
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  2. Wilfried Schmid
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Penn State University, 16802, University Park, PA, USA

    Jean-Luc Brylinski  & Ranee Brylinski  & 

  2. Department of Mathematics, MIT, 02139, Cambridge, MA, USA

    Victor Guillemin  & Victor Kac  & 

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© 1994 Springer Science+Business Media New York

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Kashiwara, M., Schmid, W. (1994). Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups. In: Brylinski, JL., Brylinski, R., Guillemin, V., Kac, V. (eds) Lie Theory and Geometry. Progress in Mathematics, vol 123. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0261-5_16

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  • DOI: https://doi.org/10.1007/978-1-4612-0261-5_16

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6685-3

  • Online ISBN: 978-1-4612-0261-5

  • eBook Packages: Springer Book Archive

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