Geodesic
A description based on Schubert classes of cohomology of flag manifolds
Masaki Nakagawa1
1 Department of General Education Takamatsu National College of Technology Takamatsu 761-8058, Japan
Fundamenta Mathematicae, Tome 199 (2008) no. 3, pp. 273-293.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe the integral cohomology rings of the flag manifolds of types $B_{n}, D_{n}, G_{2}$ and $F_{4}$ in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein–Gelfand–Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.
DOI : 10.4064/fm199-3-5
Keywords: describe integral cohomology rings flag manifolds types terms their schubert classes main tool divided difference operators bernstein gelfand gelfand demazure application compute chow rings corresponding complex algebraic groups recovering thereby results marlin

Masaki Nakagawa 1

1 Department of General Education Takamatsu National College of Technology Takamatsu 761-8058, Japan 
@article{10_4064_fm199_3_5,
     author = {Masaki Nakagawa},
     title = {A description based on {Schubert} classes of
 cohomology of flag manifolds},
     journal = {Fundamenta Mathematicae},
     pages = {273--293},
     publisher = {mathdoc},
     volume = {199},
     number = {3},
     year = {2008},
     doi = {10.4064/fm199-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm199-3-5/}
}
TY  - JOUR
AU  - Masaki Nakagawa
TI  - A description based on Schubert classes of
 cohomology of flag manifolds
JO  - Fundamenta Mathematicae
PY  - 2008
SP  - 273
EP  - 293
VL  - 199
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm199-3-5/
DO  - 10.4064/fm199-3-5
LA  - en
ID  - 10_4064_fm199_3_5
ER  - 
%0 Journal Article
%A Masaki Nakagawa
%T A description based on Schubert classes of
 cohomology of flag manifolds
%J Fundamenta Mathematicae
%D 2008
%P 273-293
%V 199
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm199-3-5/
%R 10.4064/fm199-3-5
%G en
%F 10_4064_fm199_3_5
Masaki Nakagawa. A description based on Schubert classes of
 cohomology of flag manifolds. Fundamenta Mathematicae, Tome 199 (2008) no. 3, pp. 273-293. doi : 10.4064/fm199-3-5. http://geodesic.mathdoc.fr/articles/10.4064/fm199-3-5/

Cité par Sources :