On Additive Bases and Change of Bases in $$\mathbb C$$-Motivic Steenrod Algebra mod 2

We construct additive bases over $$\mathbb M_2=\mathbb Z/2[\tau]$$ for the mod $$2$$ motivic Steenrod algebra and characterize those bases for which the transition matrix to the Milnor basis is triangular with respect to suitable linear orders on the sets of basis elements.

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Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2025-09-01
DOI
https://doi.org/10.1134/s0081543825601169
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

On Additive Bases and Change of Bases in $$\mathbb C$$-Motivic Steenrod Algebra mod 2

Th. Yu. Popelensky
Proceedings of the Steklov Institute of Mathematics
Homotopy and Cohomology in Algebraic Topology
article

On Additive Bases and Change of Bases in $$\mathbb C$$-Motivic Steenrod Algebra mod 2

Th. Yu. Popelensky
article en

Abstract

We construct additive bases over $$\mathbb M_2=\mathbb Z/2[\tau]$$ for the mod $$2$$ motivic Steenrod algebra and characterize those bases for which the transition matrix to the Milnor basis is triangular with respect to suitable linear orders on the sets of basis elements.

Proceedings of the Steklov Institute of MathematicsVol. 330(1)
National Research University Higher School of Economics (RU), Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU)
Openalex Percentile: Top 18%
Homotopy and Cohomology in Algebraic Topology
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