Turkish Journal of Mathematics
Abstract
The Leibniz--Hopf algebra F is the free associative algebra over Z on one generator S^n in each degree n>0, with coproduct given by \Delta(S^n) = \sum_{i+j=n} S^i \otimes S^j. We introduce a new perspective on the Adem relations in the mod 2 Steenrod algebra A_2 by studying the map \pi^\ast dual to the Hopf algebra epimorphism \pi: F \otimes Z/2 \to A_2. We also express Milnor's Hopf algebra conjugation formula in A_2^\ast in a different form and give a new approach for the conjugation invariant problem in A_2^\ast.
DOI
10.3906/mat-1309-6
Keywords
Adem relations, Hopf algebra, Leibniz--Hopf algebra, antipode, Steenrod algebra, quasisymmetric functions
First Page
924
Last Page
934
Recommended Citation
TURGAY, NEŞET DENİZ
(2014)
"An alternative approach to the Adem relations in the mod 2 Steenrod algebra,"
Turkish Journal of Mathematics: Vol. 38:
No.
5, Article 13.
https://doi.org/10.3906/mat-1309-6
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss5/13
