Volume 11 (2007)

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Sub-Hopf algebras of the Steenrod algebra and the Singer transfer

Minh Hà Lê

Geometry & Topology Monographs 11 (2007) 81–105

DOI: 10.2140/gtm.2007.11.81

arXiv: 0903.4910

Abstract

The Singer transfer provides an interesting connection between modular representation theory and the cohomology of the Steenrod algebra. We discuss a version of “Quillen stratification” theorem for the Singer transfer and its consequences.

Dedicated to Professor Huỳnh Mùi on the occasion of his 60th birthday

Keywords

Steenrod algebra, Singer transfer, Hopf bar construction, Milnor generator, Quillen stratification, coinvariant, general linear group, Adams spectral sequence

Mathematical Subject Classification

Primary: 18G35, 55P42, 55Q10, 55Q45, 55S10, 55T15, 55U15, 55U35

Secondary: 20C20, 46E25

References
Publication

Received: 1 April 2005
Revised: 17 December 2005
Accepted: 2 March 2006
Published: 14 November 2007
Proposed: 14 November 2007

Authors
Minh Hà Lê
Department of Mathematics
Vietnam National University
334 Nguyen Trai Street
Hanoi
Vietnam