The Torus-Equivariant Cohomology of Nilpotent Orbits
Journal of Lie theory, Tome 25 (2015) no. 4, pp. 1073-1087
We consider aspects of the geometry and topology of nilpotent orbits in finite-dimensional complex simple Lie algebras. In particular, we give the equivariant cohomologies of the regular and minimal nilpotent orbits with respect to the action of a maximal compact torus of the overall group in question.
Classification :
14M17, 57T15
Mots-clés : Nilpotent orbit, equivariant cohomology
Mots-clés : Nilpotent orbit, equivariant cohomology
@article{JLT_2015_25_4_JLT_2015_25_4_a6,
author = {P. Crooks},
title = {The {Torus-Equivariant} {Cohomology} of {Nilpotent} {Orbits}},
journal = {Journal of Lie theory},
pages = {1073--1087},
year = {2015},
volume = {25},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a6/}
}
P. Crooks. The Torus-Equivariant Cohomology of Nilpotent Orbits. Journal of Lie theory, Tome 25 (2015) no. 4, pp. 1073-1087. http://geodesic.mathdoc.fr/item/JLT_2015_25_4_JLT_2015_25_4_a6/