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Cohomology and group representations.
| Content Provider | CiteSeerX |
|---|---|
| Author | Vogan, David A. |
| Abstract | This article is based on three lectures ostensibly devoted to "cohomological induction, " a method for constructing unitary representations of reductive Lie groups. In fact the lectures concerned mostly more elementary cohomological notions, beginning with de Rham cohomology of compact manifolds. When the manifolds are related to Lie groups, de Rham cohomology is related to Lie algebra cohomology. In this way questions about de Rham cohomology can sometimes be translated into questions about cohomological properties of group representations. Cohomological induction appears at the very end, as a way to construct representations having these cohomological properties. I am grateful to the organizers for the opportunity to participate in this conference. Tony Knapp's notes are responsible for whatever connection exists between this article and the original lectures. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Group Representation Rham Cohomology Cohomological Property Cohomological Induction Unitary Representation Tony Knapp Elementary Cohomological Notion Compact Manifold Way Question Original Lecture Lie Group Reductive Lie Group Lie Algebra Cohomology |
| Content Type | Text |
| Resource Type | Article |
