Igor A. Rapinchuk

activity

20092026

most citedOn linear representations of Chevalley groups over commutative rings

16 citations · 42 across the 21 of their papers we have counts for

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Showing 2010 · math.GRShow all

2 papers · 2 filters

math.GR2010

Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings

Andrei S. Rapinchuk, Igor A. Rapinchuk

We prove the centrality of the congruence kernel for the elementary subgroup of a Chevalley group G of rank >1 over an arbitrary noetherian ring R (under some minor restrictions on…

math.GR2010★ 16 cited

On linear representations of Chevalley groups over commutative rings

Igor A. Rapinchuk

Let $G$ be the universal Chevalley-Demazure group scheme corresponding to a reduced irreducible root system of rank $\geq 2$ , and let $R$ be a commutative ring. We analyze the line…