A description based on Schubert classes of cohomology of flag manifolds
Fundamenta Mathematicae (2008)
- Volume: 199, Issue: 3, page 273-293
- ISSN: 0016-2736
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topMasaki Nakagawa. "A description based on Schubert classes of cohomology of flag manifolds." Fundamenta Mathematicae 199.3 (2008): 273-293. <http://eudml.org/doc/282854>.
@article{MasakiNakagawa2008,
abstract = {We describe the integral cohomology rings of the flag manifolds of types Bₙ, Dₙ, G₂ and F₄ 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.},
author = {Masaki Nakagawa},
journal = {Fundamenta Mathematicae},
keywords = {Finite dimensional flag manifolds; Schubert cells; Schubert presentation; Chow rings},
language = {eng},
number = {3},
pages = {273-293},
title = {A description based on Schubert classes of cohomology of flag manifolds},
url = {http://eudml.org/doc/282854},
volume = {199},
year = {2008},
}
TY - JOUR
AU - Masaki Nakagawa
TI - A description based on Schubert classes of cohomology of flag manifolds
JO - Fundamenta Mathematicae
PY - 2008
VL - 199
IS - 3
SP - 273
EP - 293
AB - We describe the integral cohomology rings of the flag manifolds of types Bₙ, Dₙ, G₂ and F₄ 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.
LA - eng
KW - Finite dimensional flag manifolds; Schubert cells; Schubert presentation; Chow rings
UR - http://eudml.org/doc/282854
ER -
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