On the Borel transgression in the fibration $G\to G/T$

Abstract

Let $G$ be a semisimple Lie group with a maximal torus $T$. We present an explicit formula for the Borel transgression $\tau :H^1(T)\to H^2(G/T)$ of the fibration $G\to G/T$. This formula corrects an error in the paper \cite{K}, and has been applied to construct the integral cohomology rings of compact Lie groups in the sequel works \cite{D,DZ2}.

7 pages; to appear in Homology, Homotopy and Applications

References in corpus (1)

• Schubert calculus and cohomology of Lie groups. Part II. Compact Lie groups

Cited by in corpus (2)

• On Schubert's Problem of Characteristics
• The cohomology of projective unitary groups