Publication details
A real analog of Kostant's version of the Bott-Borel-Weil theorem
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Lie Theory |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | semisimple Lie algebra; parabolic subalgebra; Lie algebra cohomology; real form; real cohomology |
| Description | The famous Kostant's result from 60' describes the cohomology of a nilpotent part of a complex semisimple Lie algebra with coefficients in a representation of this semisimple Lie algebra. Our article provides a real version of this result. The main point is to understand better representations of real reductive Lie algebras using the symbolism of satake diagrams. |
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