1 citations · 4 across the 7 of their papers we have counts for
7 papers
A note on the Greek letter elements of the homotopy of the -local spheres
Ryo Kato, Katsumi Shimomura, Mao-no-suke Shimomura
Let denote the Brown-Peterson spectrum at a prime , whose homotopy groups are isomorphic to the polynomial algebra generated by elements 's for . We consider t…
Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level
Ryo Kato, You-na Kawamoto, Hiroki Okajima +1
Let for a positive integer denote the stable homotopy category of -local spectra at a prime number . Then, M.~Hopkins defines the Picard group of…
On equivariant maps related to the space of pairs of exceptional Jordan algebras
Ryo Kato, Akihiko Yukie
Let be the exceptional Jordan algebra and . We construct an equivariant map from to $\mathrm{Hom}_k(\mathcal{J}\otimes \mathcal{J…
Rational orbits of the space of pairs of exceptional Jordan algebras
Ryo Kato, Akihiko Yukie
Let be a field of characteristic not equal to , an octonion over and the exceptional Jordan algebra defined by . We consider the…
A remark on the Wiener-Ikehara Tauberian theorem
Ryo Kato
In this paper we point out that the proof of Kable's extension of the Wiener-Ikehara Tauberian theorem can be applied to the case where the Dirichlet series has a pole of order "$l…
Products of Greek letter elements dug up from the third Morava stabilizer algebra
Ryo Kato, Katsumi Shimomura
Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of…
The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
Ryo Kato, Katsumi Shimomura
The chromatic spectral sequence is introduced in \cite{mrw} to compute the -term of the \ANSS\ for computing the stable homotopy groups of spheres. The -term $E_1^{s,t}(k…