Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2015; 30(3): 269-276

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.269

Copyright © The Korean Mathematical Society.

A remark on the conjugation in the Steenrod algebra

Ne\c{s}et Den\.{I}z Turgay

126/7 Sok. No:10;1, Evka 3, Bornova-Izmir 35050, Turkey}

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We investigate the Hopf algebra conjugation, $\chi$, of the mod $2$ Steenrod algebra, $\A$, in terms of the Hopf algebra conjugation, $\chi'$, of the mod $2$ Leibniz--Hopf algebra. We also investigate the fixed points of $\A$ under $\chi$ and their relationship to the invariants under $\chi'$.

Keywords: Steenrod algebra, Hopf algebra, Leibniz--Hopf algebra, antipode, noncommutative symmetric functions

MSC numbers: Primary 55S10, 16T05, 57T05

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