This article is cited in 10 papers

On closeness of carpets of Lie type over commutative rings

S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin

Siberian Federal University, Krasnoyarsk

Abstract: For a wide class of commutative rings, the existence of non-closed irreducible carpets of Lie type associated with any root system is proved.

Keywords: chevalley group over a commutative ring, carpet of additive subgroups, carpet subgroup.

UDC: 512.5

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