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.
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
\Bibitem{Nuz12}
\by Ya.~N.~Nuzhin
\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
\yr 2012
\vol 18
\issue 3
\pages 195--200
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 283
\issue , suppl. 1
\pages 119--125
\crossref{https://doi.org/10.1134/S0081543813090125}
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Linking options:
https://www.mathnet.ru/eng/timm853
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