On the cohomology of the mod p Steenrod algebra
نویسندگان
چکیده
منابع مشابه
A note on the new basis in the mod 2 Steenrod algebra
The Mod $2$ Steenrod algebra is a Hopf algebra that consists of the primary cohomology operations, denoted by $Sq^n$, between the cohomology groups with $mathbb{Z}_2$ coefficients of any topological space. Regarding to its vector space structure over $mathbb{Z}_2$, it has many base systems and some of the base systems can also be restricted to its sub algebras. On the contrary, in ...
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Let $mathcal{A}_p$ be the mod $p$ Steenrod algebra, where $p$ is an odd prime, and let $mathcal{A}$ be the subalgebra $mathcal{A}$ of $mathcal{A}_p$ generated by the Steenrod $p$th powers. We generalize the $X$-basis in $mathcal{A}$ to $mathcal{A}_p$.
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We study the mod p cohomology of the classifying space of the projective unitary group PU(p). We first prove that conjectures due to J.F. Adams and Kono and Yagita (1993) about the structure of the mod p cohomology of the classifying space of connected compact Lie groups hold in the case of PU(p). Finally, we prove that the classifying space of the projective unitary group PU(p) is determined b...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2009
ISSN: 0386-2194
DOI: 10.3792/pjaa.85.143