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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 915–920
(Mi semr536)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
An example of differentially simple Lie algebra which is not a free module over its centroid
V. N. Zhelyabinab, M. E. Goncharova
a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract:
In this work we construct an example of differentially simple Lie algebra $\Lambda(L(\mathbb{M}))$ over an algebraically closed field of zero characteristic, such that $\Lambda(L(\mathbb{M}))$ is a finitely-generated projective non-free module over its centroid.
Keywords:
differentially simple algebra, projective module, Lie algebra, algebra of polynomials.
Received October 23, 2014, published December 5, 2014
Citation:
V. N. Zhelyabin, M. E. Goncharov, “An example of differentially simple Lie algebra which is not a free module over its centroid”, Sib. Èlektron. Mat. Izv., 11 (2014), 915–920
Linking options:
https://www.mathnet.ru/eng/semr536 https://www.mathnet.ru/eng/semr/v11/p915
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