Journal of Lie Theory

no. 4
The Torus-Equivariant Cohomology of Nilpotent Orbits
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.872
Classification: 14M17, 57T15
Keywords: Nilpotent orbit, equivariant cohomology 
@article{JOLT_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},
     doi = {10.5802/jolt.872},
     zbl = {1338.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.872/}
}
TY  - JOUR
AU  - P. Crooks
TI  - The Torus-Equivariant Cohomology of Nilpotent Orbits
JO  - Journal of Lie Theory
PY  - 2015
SP  - 1073
EP  - 1087
VL  - 25
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.872/
DO  - 10.5802/jolt.872
ID  - JOLT_2015_25_4_a6
ER  - 
%0 Journal Article
%A P. Crooks
%T The Torus-Equivariant Cohomology of Nilpotent Orbits
%J Journal of Lie Theory
%D 2015
%P 1073-1087
%V 25
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.872/
%R 10.5802/jolt.872
%F JOLT_2015_25_4_a6
P. Crooks. The Torus-Equivariant Cohomology of Nilpotent Orbits. Journal of Lie Theory, Volume 25 (2015) no. 4, pp. 1073-1087. doi: 10.5802/jolt.872

Cited by Sources: