Lie automorphisms of incidence algebras

Lie automorphisms of incidence algebras

Let X be a finite connected poset and K a field. We give a full description of the Lie automorphisms of the incidence algebra I(X,K). In particular, we show that they are in general not proper.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2022-04, Vol.150 (4), p.1477-1492
Hauptverfasser: Fornaroli, Érica, Khrypchenko, Mykola, Santulo, Ednei
Format: Artikel
Sprache:eng
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Zusammenfassung:Let X be a finite connected poset and K a field. We give a full description of the Lie automorphisms of the incidence algebra I(X,K). In particular, we show that they are in general not proper.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/15786