RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Journal history Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 2016, Volume 21, Issue 2, Pages 193–216 (Mi fpm1726)

Uniqueness of addition in Lie algebras of Chevalley type over rings with $1/2$ and $1/3$

A. R. Mayorova

Lomonosov Moscow State University

Abstract: In this paper, it is proved that Lie algebras of Chevalley type ($A_n$, $B_n$, $C_n$, $D_n$, $E_6$, $E_7$, $E_8$, $F_4$, and $G_2$) over associative commutative rings with $1/2$ (with $1/2$ and $1/3$ in the case of $G_2$) have unique addition. As a corollary of this theorem, we note the uniqueness of addition in semisimple Lie algebras of Chevalley type over fields of characteristic $ė 2$ ($ė 2,3$ in the case of $G_2$).

Full text: PDF file (332 kB)
References: PDF file   HTML file

English version:
Journal of Mathematical Sciences (New York), 2019, 237:2, 287–303

UDC: 512.554.31

Citation: A. R. Mayorova, “Uniqueness of addition in Lie algebras of Chevalley type over rings with $1/2$ and $1/3$”, Fundam. Prikl. Mat., 21:2 (2016), 193–216; J. Math. Sci., 237:2 (2019), 287–303

Citation in format AMSBIB
\Bibitem{May16} \by A.~R.~Mayorova \paper Uniqueness of addition in Lie algebras of Chevalley type over rings with $1/2$ and $1/3$ \jour Fundam. Prikl. Mat. \yr 2016 \vol 21 \issue 2 \pages 193--216 \mathnet{http://mi.mathnet.ru/fpm1726} \transl \jour J. Math. Sci. \yr 2019 \vol 237 \issue 2 \pages 287--303 \crossref{https://doi.org/10.1007/s10958-019-4156-2}