Conjugation and excess in the Steenrod algebra
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- by Judith H. Silverman PDF
- Proc. Amer. Math. Soc. 119 (1993), 657-661 Request permission
Abstract:
In this paper we prove a formula involving the canonical antiautomorphism $\chi$ of the $\bmod {\text {-}}2$ Steenrod algebra $\mathcal {A}(2)$, namely, \[ \begin {array}{*{20}{c}} {\chi (S{q^{{2^j}({2^{i + 1}} - 1)}}S{q^{{2^{j - 1}}({2^{i + 1}} - 1)}} \cdots S{q^{({2^{i + 1}} - 1)}})} \\ {\qquad \qquad = S{q^{{2^i}({2^{j + 1}} - 1)}}S{q^{{2^{i - 1}}({2^{j + 1}} - 1)}} \cdots S{q^{({2^{j + 1}} - 1)}},} \\ \end {array} \] and discuss its implications for the study of the image of the $\mathcal {A}(2)$-action on ${\mathbb {F}_2}[{x_1}, \cdots ,{x_s}]$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 657-661
- MSC: Primary 55S10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1152292-8
- MathSciNet review: 1152292