Invariant elements in the dual Steenrod algebra

Subject Areas : Algebraic topology

T.  Vergili ¹ (Department of Mathematics, Faculty of Science, Ege University, 35100, Izmir, Turkey)
I.  Karaca ² (Department of Mathematics, Faculty of Science, Ege University, 35100, Izmir, Turkey)

Received: 2018-10-28 Accepted : 2019-03-06 Published : 2019-08-01

Keywords: Steenrod algebra, cohomology operations, Hopf algebra,

Abstract :

‎In this paper‎, ‎we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${\mathcal{A}_p}^*$ under the conjugation map $\chi$ and give bounds on the dimensions of $(\chi-1)({\mathcal{A}_p}^*)_d$‎, ‎where $({\mathcal{A}_p}^*)_d$ is the dimension of ${\mathcal{A}_p}^*$ in degree $d$‎.

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