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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 195–200 (Mi timm853)  
This article is cited in 6 scientific papers (total 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
Full-text PDF (141 kB) Citations (6)
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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.
Received: 27.12.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 119–125
DOI: https://doi.org/10.1134/S0081543813090125
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: Ya. N. Nuzhin, “Lie rings defined by the root system and family of additive subgroups of the main ring”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 195–200; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 119–125
Citation in format AMSBIB
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\paper Lie rings defined by the root system and family of additive subgroups of the main ring
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 18
\issue 3
\pages 195--200
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 283
\issue , suppl. 1
\pages 119--125
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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