Cohomological Properties of the Canonical Globalizations of Harish–Chandra Modules |
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| Authors: | Ulrich Bunke Martin Olbrich |
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| Institution: | (1) Mathematisches Institut der Universität Göttingen, Bunsenstr. 3–5, 37073 Göttingen, Germany |
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| Abstract: | In this note we draw consequences of theorems of Kashiwara–Schmid, Casselman, and Schneider–Stuhler. Canonical globalizations of Harish–Chandra modules can be considered as coefficient modules for cohomology groups with respect to cocompact discrete subgroups or nilpotent Lie algebras. We obtain finiteness and comparison theorems for these cohomology groups. |
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| Keywords: | canonical globalizations discrete subgroups group cohomology Harish– Chandra modules n-cohomology |
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