Geodesic
On the Cohomology of Hermitian Symmetric Spaces
Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 934-943 
A. N. Shchetinin. On the Cohomology of Hermitian Symmetric Spaces. Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 934-943. http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a13/
@article{MZM_2003_74_6_a13,
     author = {A. N. Shchetinin},
     title = {On the {Cohomology} of {Hermitian} {Symmetric} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {934--943},
     year = {2003},
     volume = {74},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a13/}
}
TY  - JOUR
AU  - A. N. Shchetinin
TI  - On the Cohomology of Hermitian Symmetric Spaces
JO  - Matematičeskie zametki
PY  - 2003
SP  - 934
EP  - 943
VL  - 74
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a13/
LA  - ru
ID  - MZM_2003_74_6_a13
ER  - 
%0 Journal Article
%A A. N. Shchetinin
%T On the Cohomology of Hermitian Symmetric Spaces
%J Matematičeskie zametki
%D 2003
%P 934-943
%V 74
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a13/
%G ru
%F MZM_2003_74_6_a13

Voir la notice de l'article provenant de la source Math-Net.Ru

A formula for the value of a power of a two-dimensional cohomology class of a simply connected compact Hermitian symmetric space $M$ at an arbitrary homology class of this space is derived.

[1] Borel A., Hirzebruch F., “Characteristic classes and homogeneous spaces, II”, Amer. J. Math., 81 (1959), 315–382 | DOI | MR

[2] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl

[3] Bernshtein I. N., Gelfand I. M., Gelfand S. I., “Kletki Shuberta i kogomologii prostranstv $G/P$”, UMN, 28:3 (1973), 3–26

[4] Aigner M., Kombinatornaya teoriya, Mir, M., 1982

[5] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | Zbl

[6] Goto M., Grosskhans F., Poluprostye algebry Li, Mir, M., 1981 | Zbl

[7] Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975 | Zbl

[8] Burbaki N., Gruppy i algebry Li, Mir, M., 1978