Elements of a Lie algebra acting nilpotently in all its representations

Published 27 Sep 2022 in math.AG | (2209.13309v1)

Abstract: An equivalent condition for an element of a Lie algebra acting nilpotently in all its representations is obtained. Namely, it should belong to the derived algebra and go via factoring over the radical to a nilpotent element of the corresponding (semisimple) quotient algebra.

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Authors (1)

O. G. Styrt

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