On centralizers of elements in the Lie algebra W2(K)

Makedonskiy, Ie. O.; Petravchuk, A. P.; Stepukh, V. V.

dc.contributor.author	Makedonskiy, Ie. O.
dc.contributor.author	Petravchuk, A. P.
dc.contributor.author	Stepukh, V. V.
dc.date.accessioned	2021-06-04T09:52:20Z
dc.date.available	2021-06-04T09:52:20Z
dc.date.issued	2013
dc.identifier.citation	Makedonskiy, Ie. O. On centralizers of elements in the Lie algebra W2(K) / Ie. O. Makedonskiy, A. P. Petravchuk, V. V. Stepukh // Науковий часопис Національного педагогічного університету імені М. П. Драгоманова. Серія 1 : Фізико-математичні науки : зб. наук. праць. - Київ : Вид-во НПУ ім. М. П. Драгоманова, 2013. - Вип. 14. - С. 24-30.	ua
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/34231
dc.description.abstract	Let K be a ﬁeld of characteristic zero and K[x, y] the polynomial ring. Denote by W2(K) the Lie algebra of all K-derivations of K[x, y]. Centralizers of elements and maximal abelian subalgebras of the algebra W2(K) are studied. The structure of a centralizer CW2(D) depends on the kerD in the ﬁeld of rational functions K(x, y) (the derivation D can be naturally extended on K(x, y)). In particular, if kerD in K(x, y) coincides with K or does not contain nonconstant polynomials, then CW2(D) is of ﬁnite dimension over K.	ua
dc.language.iso	en	ua
dc.publisher	НПУ імені М. П. Драгоманова	ua
dc.title	On centralizers of elements in the Lie algebra W2(K)	ua
dc.type	Article	ua