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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2012 Volume 18, Number 3, Pages 195–200 (Mi timm853)

This article is cited in 6 papers

Lie rings defined by the root system and family of additive subgroups of the main ring

Ya. N. Nuzhin

Siberian Federal University

Abstract: For a given carpet of additive subgroups, a carpet subring of the Chevalley algebra is defined. For this subring, an analog of the known question on the absence of new root elements in a carpet subgroup is answered and necessary and sufficient conditions of its invariance with respect to the corresponding carpet subgroup are found.

Keywords: Chevalley group and algebra, carpet of additive subgroups, Lie ring.

UDC: 512.5

Received: 27.12.2011


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2013, 283, suppl. 1, S119–S125

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