Volume 10 (2007)

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On the Rothenberg–Steenrod spectral sequence for the mod 3 cohomology of the classifying space of the exceptional Lie group E8

Masaki Kameko and Mamoru Mimura

Geometry & Topology Monographs 10 (2007) 213–226

DOI: 10.2140/gtm.2007.10.213

arXiv: 0903.4589

Abstract

We show that the Rothenberg--Steenrod spectral sequence converging to the mod 3 cohomology of the classifying space of the exceptional Lie group E8 does not collapse at the E2–level.

Keywords

classifying space, cohomology, Lie group, spectral sequence

Mathematical Subject Classification

Primary: 55R40

Secondary: 55T99

References
Publication

Received: 31 July 2004
Revised: 26 October 2005
Published: 29 January 2007

Authors
Masaki Kameko
Toyama University of International Studies
Toyama 930-1292
Japan
Mamoru Mimura
Department of Mathematics
Okayama University
Okayama 700-8530
Japan