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Construction and Classification of Irreducible Harish—Chandra Modules

Chapter
Part of the Progress in Mathematics book series (PM, volume 101)

Abstract

Typically, irreducible Harish-Chandra modules are constructed not directly, but as unique irreducible submodules, or unique irreducible quotients, of so-called standard modules. As in some other contexts, standard modules are obtained by cohomological constructions which tend to be “easy” on the level of Euler characteristic. For certain values of the parameters in these constructions, there is a vanishing theorem; standard modules arise when the vanishing theorem applies.

Keywords

Line Bundle Standard Module Discrete Series Cartan Subgroup Local Cohomology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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