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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155212 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862600030381146112 |
|---|---|
| author | Sysak, K. |
| author_facet | Sysak, K. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-11-27T22:43:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155212 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T22:43:39Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Sysak, K. 2019-06-16T11:01:38Z 2019-06-16T11:01:38Z 2016 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. https://nasplib.isofts.kiev.ua/handle/123456789/155212 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On nilpotent Lie algebras of derivations with large center Article published earlier |
| spellingShingle | On nilpotent Lie algebras of derivations with large center Sysak, K. |
| title | 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_short | On nilpotent Lie algebras of derivations with large center |
| title_sort | on nilpotent lie algebras of derivations with large center |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155212 |
| work_keys_str_mv | AT sysakk onnilpotentliealgebrasofderivationswithlargecenter |