Lie properties of crossed products
classification
🧮 math.RA
math.RT
keywords
crossedlambdaproductspropertiessigmacharacterizationengelfield
read the original abstract
Let $F^\lambda_{\sigma} [G]$ be a crossed product of a group $G$ and the field $F$. We study the Lie properties of $F^\lambda_{\sigma} [G]$ in order to obtain a characterization of those crossed products which are upper (lower) Lie nilpotent and Lie $(n,m)$-Engel.
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