On nilpotent Lie algebras of derivations with large center
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On nilpotent Lie algebras of derivations with large center
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| Creator |
Sysak, K.
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| Description |
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.
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| Date |
2019-06-16T11:01:38Z
2019-06-16T11:01:38Z 2016 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:Primary 17B66; Secondary 17B30, 13N15. http://dspace.nbuv.gov.ua/handle/123456789/155212 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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