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math.RA2026
On the growth of Lie algebras and Jordan algebras
Be'eri Greenfeld
We prove that every increasing, polynomially bounded function is realizable, up to bi-Lipschitz equivalence, as the growth function of some finitely generated Lie algebra. This doe…
math.RA2026
Amenability is not sensitive to the base field
Be'eri Greenfeld
We prove that the notion of amenability of a (module over) an associative algebra does not depend on the ground field, answering a question proposed by Cornulier in a MathOverflow…