T. Uchiyama

activity

20132020

most citedNon-separability and complete reducibility:

E_{n}

examples with an application to a question of Külshammer

4 citations · 5 across the 9 of their papers we have counts for

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8 papers · 1 filter

math.GR2020

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An $F_{4}$ example

Falk Bannuscher, Alastair Litterick, Tomohiro Uchiyama

Let $k$ be a nonperfect separably closed field. Let $G$ be a connected reductive algebraic group defined over $k$ . We study rationality problems for Serre's notion of complete redu…

math.GR2017

Complete reducibility, Kulshammer's question, conjugacy classes: a D_4 example

Tomohiro Uchiyama

Let $k$ be a nonperfect separably closed field. Let $G$ be a connected reductive algebraic group defined over $k$ . We study rationality problems for Serre's notion of complete redu…

math.GR2016

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 3

Tomohiro Uchiyama

Let $k$ be a nonperfect separably closed field. Let $G$ be a (possibly non-connected) reductive group defined over $k$ . We study rationality problems for Serre's notion of complete…

math.GR2015

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 2

Tomohiro Uchiyama

Let k be a separably closed field. Let G be a reductive algebraic k-group. In this paper, we study Serre's notion of complete reducibility of subgroups of G over k. In particular,…

math.GR2015

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 1

Tomohiro Uchiyama

Let $k$ be a nonperfect field of characteristic $2$ . Let $G$ be a $k$ -split simple algebraic group of type $E_{6}$ (or $G_{2}$ ) defined over $k$ . In this paper, we present the first ex…

math.GR2015★ 4 cited

Non-separability and complete reducibility: $E_{n}$ examples with an application to a question of Külshammer

Tomohiro Uchiyama

Let $G$ be a simple algebraic group of type $E_{n} (n = 6, 7, 8)$ defined over an algebraically closed field $k$ of characteristic $2$ . We present examples of triples of closed reductive…

math.GR2014

Complete reducibility and isogenies over an arbitrary field

Tomohiro Uchiyama

In this paper, we investigate how the property of $G$ -complete reducibility behaves under isogenies over an arbitrary field.

math.GR2013

Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type $E_{7}$

Tomohiro Uchiyama

Let $G$ be a connected reductive algebraic group defined over an algebraically closed field $k$ . The aim of this paper is to present a method to find triples $(G, M, H)$ with the fol…

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An F4​ example

Complete reducibility, Kulshammer's question, conjugacy classes: a D_4 example

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 3

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 2

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 1

Non-separability and complete reducibility: En​ examples with an application to a question of Külshammer

Complete reducibility and isogenies over an arbitrary field

Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type E7​

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An $F_{4}$ example

Non-separability and complete reducibility: $E_{n}$ examples with an application to a question of Külshammer

Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type $E_{7}$