4 citations · 5 across the 9 of their papers we have counts for
9 papers
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An example
Falk Bannuscher, Alastair Litterick, Tomohiro Uchiyama
Let be a nonperfect separably closed field. Let be a connected reductive algebraic group defined over . We study rationality problems for Serre's notion of complete redu…
Complete reducibility, Kulshammer's question, conjugacy classes: a D_4 example
Tomohiro Uchiyama
Let be a nonperfect separably closed field. Let be a connected reductive algebraic group defined over . We study rationality problems for Serre's notion of complete redu…
A geometric approach to the transfer problem for a finite number of traders
Tomohiro Uchiyama
We present a complete characterization of the classical transfer problem for an exchange economy with an arbitrary finite number of traders. Our method is geometric, using an equil…
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 3
Tomohiro Uchiyama
Let be a nonperfect separably closed field. Let be a (possibly non-connected) reductive group defined over . We study rationality problems for Serre's notion of complete…
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,…
Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields 1
Tomohiro Uchiyama
Let be a nonperfect field of characteristic . Let be a -split simple algebraic group of type (or ) defined over . In this paper, we present the first ex…
Non-separability and complete reducibility: examples with an application to a question of Külshammer
Tomohiro Uchiyama
Let be a simple algebraic group of type defined over an algebraically closed field of characteristic . We present examples of triples of closed reductive…
Complete reducibility and isogenies over an arbitrary field
Tomohiro Uchiyama
In this paper, we investigate how the property of -complete reducibility behaves under isogenies over an arbitrary field.
Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type
Tomohiro Uchiyama
Let be a connected reductive algebraic group defined over an algebraically closed field . The aim of this paper is to present a method to find triples with the fol…