Lie automorphisms of incidence algebras

Lie automorphisms of incidence algebras

Let XX be a finite connected poset and KK a field. We give a full description of the Lie automorphisms of the incidence algebra I(X,K)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 Z., Khrypchenko, Mykola, Santulo, Ednei A.
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container_title Proceedings of the American Mathematical Society
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creator Fornaroli, Érica Z.
Khrypchenko, Mykola
Santulo, Ednei A.
description Let XX be a finite connected poset and KK a field. We give a full description of the Lie automorphisms of the incidence algebra I(X,K)I(X,K). In particular, we show that they are in general not proper.
doi_str_mv 10.1090/proc/15786
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title Lie automorphisms of incidence algebras
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