A description based on Schubert classes of cohomology of flag manifolds

• Autorzy: Masaki Nakagawa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57T15: Homology and cohomology of homogeneous spaces of Lie groups
• 14M15: Grassmannians, Schubert varieties, flag manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 199
• Numer: 3
• Strony: 273-293

Daty

wydano

2008

Twórcy

autor

Masaki Nakagawa

• Department of General Education, Takamatsu National College of Technology, Takamatsu 761-8058, Japan

Identyfikatory

DOI

10.4064/fm199-3-5