Invariant elements in the dual Steenrod algebra
محورهای موضوعی : 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)
کلید واژه: Steenrod algebra, cohomology operations, Hopf algebra,
چکیده مقاله :
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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