The rational cohomology Hopf algebra of a generic Kac–Moody group

Zhao Xu-an and Gao Hongzhu

Vol. 305 (2020), No. 2, 757–766

DOI: 10.2140/pjm.2020.305.757

Abstract

In this paper we determine the rational homotopy type of the classifying space of a generic Kac–Moody group by computing its rational cohomology ring. As an application we determine the rational homology Hopf algebra of the generic Kac–Moody group.

Keywords

Kac–Moody group, classifying space, Hopf algebra

Mathematical Subject Classification 2010

Primary: 55N45

Milestones

Received: 15 April 2018

Revised: 2 April 2019

Accepted: 4 November 2019

Published: 29 April 2020