Compatible anti-pre-Lie algebras are introduced, characterized via negative left multiplication representations, and classified in dimension 2 by a list of 45 families.
A classification of nilpotent compatible Lie algebras
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Working over an arbitrary field of characteristic different from $2$, we extend the Skjelbred-Sund method to compatible Lie algebras and give a full classification of nilpotent compatible Lie algebras up to dimension $4$. In case the base field is cubically closed, we find that there are three isomorphism classes and a one-parameter family in dimension $3$, and $12$ isomorphism classes, $6$ one-parameter families and two $2$-parameter families in dimension $4$
citation-role summary
background 1
citation-polarity summary
fields
math.RA 1years
2024 1verdicts
REJECT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Compatible anti-pre-Lie algebras
Compatible anti-pre-Lie algebras are introduced, characterized via negative left multiplication representations, and classified in dimension 2 by a list of 45 families.