Schubert calculus and the integral cohomology of exceptional Lie groups

Details Schubert calculus and the integral cohomology of exceptional Lie groups Schubert calculus and the integral cohomology of exceptional Lie groups

2007-11-16

arxiv.org/abs/0711.2541v10

Mathematics

Algebraic Topology

33 pages; 8 tables

Scientific paper

Let G be a 1-connected simple Lie group with a maximal torus T. Combining
Leray-Serre spectral sequence of the fibration G\toG/T with certain common
properties in the Schubert presentation of the integral cohomology of the flag
manifold G/T, we construct the cohomology ring H^{\ast}(G;F) uniformly for all
G and F=Q,F_{p},Z.

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