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@article{493089,
author = {Šilhan, Josef},
article_location = {Lemgo (Germany)},
article_number = {2},
keywords = {semisimple Lie algebra; parabolic subalgebra; Lie algebra cohomology; real form; real cohomology},
language = {eng},
issn = {0949-5932},
journal = {Journal of Lie Theory},
title = {A real analog of Kostant's version of the Bott-Borel-Weil theorem},
volume = {14},
year = {2004}
}
TY - JOUR
ID - 493089
AU - Šilhan, Josef
PY - 2004
TI - A real analog of Kostant's version of the Bott-Borel-Weil theorem
JF - Journal of Lie Theory
VL - 14
IS - 2
SP - 481--499
EP - 481--499
PB - Heldermann Verlag
SN - 09495932
KW - semisimple Lie algebra
KW - parabolic subalgebra
KW - Lie algebra cohomology
KW - real form
KW - real cohomology
N2 - 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.
ER -
ŠILHAN, Josef. A real analog of Kostant's version of the Bott-Borel-Weil theorem. \textit{Journal of Lie Theory}. Lemgo (Germany): Heldermann Verlag, 2004, roč.~14, č.~2, s.~481--499, 18 s. ISSN~0949-5932.
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