Publication details

A real analog of Kostant's version of the Bott-Borel-Weil theorem



Year of publication 2004
Type Article in Periodical
Magazine / Source Journal of Lie Theory
MU Faculty or unit

Faculty of Science

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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