On nilpotent Lie algebras of derivations with large center
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 algeb...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155212 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155212 |
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dspace |
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irk-123456789-1552122019-06-17T01:26:21Z On nilpotent Lie algebras of derivations with large center Sysak, K. 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. 2016 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Sysak, K. |
| spellingShingle |
Sysak, K. On nilpotent Lie algebras of derivations with large center Algebra and Discrete Mathematics |
| author_facet |
Sysak, K. |
| author_sort |
Sysak, K. |
| title |
On nilpotent Lie algebras of derivations with large center |
| title_short |
On nilpotent Lie algebras of derivations with large center |
| title_full |
On nilpotent Lie algebras of derivations with large center |
| title_fullStr |
On nilpotent Lie algebras of derivations with large center |
| title_full_unstemmed |
On nilpotent Lie algebras of derivations with large center |
| title_sort |
on nilpotent lie algebras of derivations with large center |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155212 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT sysakk onnilpotentliealgebrasofderivationswithlargecenter |
| first_indexed |
2023-05-20T17:46:20Z |
| last_indexed |
2023-05-20T17:46:20Z |
| _version_ |
1796154053567184896 |