Linear Lie algebras with finite dimensional centralizers

Details Linear Lie algebras with finite dimensional centralizers Linear Lie algebras with finite dimensional centralizers

2001-06-25

arxiv.org/abs/math-ph/0106026v2

J. Math. Anal. Appl. 269 (2002), 578-587

Physics

Mathematical Physics

10 pages; revised version to appear in J. Math. Anal. Appl

Scientific paper

We give criteria for finite dimensionality 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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