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Gaeta, G.* ; Walcher, S.

Lie algebras with finite-dimensional polynomial centralizer.

J. Math. Anal. Appl. 269, 578-587 (2002)
Open Access Green as soon as Postprint is submitted to ZB.
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
Corresponding Author
Keywords ORDINARY DIFFERENTIAL-EQUATIONS; SUPERPOSITION PRINCIPLES; SYMMETRIES
ISSN (print) / ISBN 0022-247X
e-ISSN 1096-0813
Journal Journal of Mathematical Analysis and Applications
Quellenangaben Volume: 269, Issue: , Pages: 578-587 Article Number: , Supplement: ,
Publisher Elsevier
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)