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Open Access Green as soon as Postprint is submitted to ZB.
Lie algebras with finite-dimensional polynomial centralizer.
J. Math. Anal. Appl. 269, 578-587 (2002)
We give criteria for finite or infinite dimensionality of the polynomial centralizer of the Lie algebra of a linear Lie group, in terms of invariants and relative invariants of the group. In the finite-dimensional scenario some applications to normal forms and to certain equations with fundamental solutions are presented.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
ORDINARY DIFFERENTIAL-EQUATIONS; SUPERPOSITION PRINCIPLES; SYMMETRIES
ISSN (print) / ISBN
0022-247X
e-ISSN
1096-0813
Quellenangaben
Volume: 269,
Pages: 578-587
Publisher
Elsevier
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)