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The odd-primary Kudo–Araki–May algebra of algebraic Steenrod operations and invariant theory

2007/11/14 by David Pengelley, David J Pengelley, Frank Williams
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:16W22 #msc:16W30 #msc:16W50 #msc:55S10 #msc:55S12 #msc:55S99 #msc:57T05

paper · pdf · doi:10.2140/gtm.2007.11.217

published as Geom. Topol. Monogr. 11 (2007) 217-243 · This is the version published by Geometry & Topology Monographs on 14 November 2007

openalex publication_date 2007/11/14 · arxiv created 2009/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Abstract. We describe bialgebras of lower-indexed algebraic Steenrod operations over the …eld with p elements, p an odd prime. These go beyond the operations that can act nontrivially in topology, and their duals are closely related to algebras of polynomial invariants under subgroups of the general linear groups that contain the unipotent upper triangular groups. There are signi…cant di¤erences between these algebras and the analogous one for p = 2, in particular in the nature and consequences of the de…ning Adem relations.

Citations