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math.RA2026
Weakly Noetherian Lie Algebra and the Sierra-Walton Conjecture
Olivier Mathieu
Let K be a field of characteristic zero. Motivated by the conjecture that an enveloping algebra U(g) is Noetherian only if g is finite dimensional, we define the notion of weakly N…
math.RA2024
Noetherian enveloping algebras of simple graded Lie algebras
Nicolás Andruskiewitsch, Olivier Mathieu
It is shown that if the universal enveloping algebra of a simple -graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.