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dc.contributor.author |
Sysak, K. |
|
dc.date.accessioned |
2019-06-16T11:01:38Z |
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dc.date.available |
2019-06-16T11:01:38Z |
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dc.date.issued |
2016 |
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dc.identifier.citation |
On nilpotent Lie algebras of derivations with large center / K. Sysak // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 153-162. — Бібліогр.: 8 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2010 MSC:Primary 17B66; Secondary 17B30, 13N15. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/155212 |
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dc.description.abstract |
Let K be a field of characteristic zero and A an associative commutative K-algebra that is an integral domain. Denote by R the quotient field of A and by W(A)=RDerA the Lie algebra of derivations on R that are products of elements of R and derivations on A. Nilpotent Lie subalgebras of the Lie algebra W(A) of rank n over R with the center of rank n−1 are studied. It is proved that such a Lie algebra L is isomorphic to a subalgebra of the Lie algebra un(F) of triangular polynomial derivations where F is the field of constants for L. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
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dc.title |
On nilpotent Lie algebras of derivations with large center |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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