Fixed points of IA-endomorphisms of a free metabelian Lie algebra
Let L be a free metabelian Lie algebra of finite rank at least 2. We show the existence of non-trivial fixed points of an IA -endomorphism of L and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix φ of an IA -endomorphism φ of L is not finitely generated....
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| Veröffentlicht in: | Proceedings of the Indian Academy of Sciences. Mathematical sciences 2011-11, Vol.121 (4), p.405-416 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
L
be a free metabelian Lie algebra of finite
rank
at least 2. We show the existence of non-trivial fixed points of an
IA
-endomorphism of
L
and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix
φ
of an
IA
-endomorphism
φ
of
L
is not finitely generated. |
|---|---|
| ISSN: | 0253-4142 0973-7685 |
| DOI: | 10.1007/s12044-011-0039-2 |