Geodesic
Proper Lie automorphisms of incidence algebras
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 702-715

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DOI

Let X be a finite connected poset and K a field. We study the question, when all Lie automorphisms of the incidence algebra I(X, K) are proper. Without any restriction on the length of X, we find only a sufficient condition involving certain equivalence relation on the set of maximal chains of X. For some classes of posets of length one, such as finite connected crownless posets (i.e., without weak crown subposets), crowns, and ordinal sums of two anti-chains, we give a complete answer.
DOI : 10.1017/S0017089522000015
Mots-clés : Lie automorphism, proper Lie automorphism, incidence algebra, maximal chain, crown 
Fornaroli, Érica Z.; Khrypchenko, Mykola; Jr., Ednei A. Santulo. Proper Lie automorphisms of incidence algebras. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 702-715. doi: 10.1017/S0017089522000015
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     title = {Proper {Lie} automorphisms of incidence algebras},
     journal = {Glasgow mathematical journal},
     pages = {702--715},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089522000015},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000015/}
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