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Abstract <p> We construct additive bases over <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathbb M_2=\mathbb Z/2[\tau]\)</EquationSource> </InlineEquation> for the mod <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(2\)</EquationSource> </InlineEquation> 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. </p>

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

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Th. Yu. Popelensky

摘要

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.