Bavula, V.V. (2017) The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Communications in Algebra, 45 (3). pp. 1114-1133. ISSN 0092-7872
Abstract
Let Pn = K[x1, . . . , xn] be a polynomial algebra over a eld K of characteristic zero and div0 n (respectively, divc n ) be the Lie algebra of derivations of Pn with zero (respectively, constant) divergence. We prove that AutLie(div0 n ) ≃ AutK−alg(Pn) (n ≥ 2) and AutLie(divc n ) ≃ AutK−alg(Pn). The Lie algebra divc n is a maximal Lie subalgebra of DerK (Pn). Minimal nite sets of generators are found for the Lie algebras div0 n and divc n .
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 7 Oct 2016 available online: https://doi.org/10.1080/00927872.2016.1175596. |
Keywords: | Automorphism; derivation; group of automorphisms; Lie algebra; locally nilpotent derivation; the divergence; the Lie algebras of polynomial vector elds with zero or constant divergence |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/J009342/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Nov 2017 15:52 |
Last Modified: | 13 Jul 2023 11:37 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/00927872.2016.1175596 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124640 |