Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings
Archivum Mathematicum (2008)
- Volume: 044, Issue: 3, page 173-183
- ISSN: 0044-8753
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topWang, Deng Yin, and Wang, Xian. "Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings." Archivum Mathematicum 044.3 (2008): 173-183. <http://eudml.org/doc/250457>.
@article{Wang2008,
abstract = {Let $R$ be an arbitrary commutative ring with identity, $\operatorname\{gl\}(n,R)$ the general linear Lie algebra over $R$, $d(n,R)$ the diagonal subalgebra of $\operatorname\{gl\}(n,R)$. In case 2 is a unit of $R$, all subalgebras of $\operatorname\{gl\}(n,R)$ containing $d(n,R)$ are determined and their derivations are given. In case 2 is not a unit partial results are given.},
author = {Wang, Deng Yin, Wang, Xian},
journal = {Archivum Mathematicum},
keywords = {the general linear Lie algebra; derivations of Lie algebras; commutative rings; general linear Lie algebra; derivation of Lie algebras; commutative ring},
language = {eng},
number = {3},
pages = {173-183},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings},
url = {http://eudml.org/doc/250457},
volume = {044},
year = {2008},
}
TY - JOUR
AU - Wang, Deng Yin
AU - Wang, Xian
TI - Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 3
SP - 173
EP - 183
AB - Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general linear Lie algebra over $R$, $d(n,R)$ the diagonal subalgebra of $\operatorname{gl}(n,R)$. In case 2 is a unit of $R$, all subalgebras of $\operatorname{gl}(n,R)$ containing $d(n,R)$ are determined and their derivations are given. In case 2 is not a unit partial results are given.
LA - eng
KW - the general linear Lie algebra; derivations of Lie algebras; commutative rings; general linear Lie algebra; derivation of Lie algebras; commutative ring
UR - http://eudml.org/doc/250457
ER -
References
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