activity
19942020
most citedPrehomogeneous vector spaces and field extensions II

24 citations · 34 across the 19 of their papers we have counts for

collaborators

19 papers

math.NT2020

On the GIT stratification of prehomogeneous vector spaces III

Kazuaki Tajima, Akihiko Yukie

We determine all orbits of the prehomogeneous vector space rationally over an arbitrary perfect…

math.NT2019★ 1 cited

On the GIT stratification of prehomogeneous vector spaces I

Kazuaki Tajima, Akihiko Yukie

We determine the set which parametrizes the GIT stratification for four prehomogeneous vector spaces in this paper.

math.NT2019

On the GIT stratification of prehomogeneous vector spaces II

Kazuaki Tajima, Akihiko Yukie

We determine all orbits of two prehomogeneous vector spaces rationally over an arbitrary perfect field in this paper.

math.RT2016★ 1 cited

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…

math.NT2016★ 1 cited

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…

math.NT1999

The mean vcalue of the product of class numbers of paired quadratic fields II

Anthony C. Kable, Akihiko Yukie

This is the second part of a two part paper. In this part, we evaluate the previously unevaluated local densities at dyadic places which appear in the density theorem stated in the…