Homology, Homotopy and Applications
Volume 20 (2018)
On the Borel transgression in the fibration $G \to G/T$
Pages: 79 – 86
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 , and has been applied to construct the integral cohomology rings of compact Lie groups in the sequel works [4, 6].
Lie group, cohomology, Leray-Serre spectral sequence
2010 Mathematics Subject Classification
The author’s research is supported by NSFC 11771427, 11661131004.
Received 15 April 2017
Received revised 18 July 2017
Published 3 January 2018