Ryo Kato

collaborators

3 papers

math.AT2021

Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level

Ryo Kato, You-na Kawamoto, Hiroki Okajima +1

Let $L_{n}$ for a positive integer $n$ denote the stable homotopy category of $v_{n}^{- 1} B P$ -local spectra at a prime number $p$ . Then, M.~Hopkins defines the Picard group of…

math.RT2016

On equivariant maps related to the space of pairs of exceptional Jordan algebras

Ryo Kato, Akihiko Yukie

Let $J$ be the exceptional Jordan algebra and $V = J \oplus J$ . We construct an equivariant map from $V$ to $\mathrm{Hom}_k(\mathcal{J}\otimes \mathcal{J…

math.NT2016

Rational orbits of the space of pairs of exceptional Jordan algebras

Ryo Kato, Akihiko Yukie

Let $k$ be a field of characteristic not equal to $2, 3$ , $O$ an octonion over $k$ and $J$ the exceptional Jordan algebra defined by $O$ . We consider the…