Construction and Classification of Irreducible Harish—Chandra Modules
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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.
KeywordsLine Bundle Standard Module Discrete Series Cartan Subgroup Local Cohomology
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