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- W2951892017 abstract "Let g be a finite-dimensional complex Lie algebra, and let U(g) be its universal enveloping algebra. We prove that if hat{U}(g), the Arens-Michael envelope of U(g), is stably flat over U(g) (i.e., if the canonical homomorphism U(g)-->hat{U}(g) is a localization in the sense of Taylor), then g is solvable. To this end, given a cocommutative Hopf algebra H and an H-module algebra A, we explicitly describe the Arens-Michael envelope of the smash product A#H as an ``analytic smash product'' of their completions w.r.t. certain families of seminorms." @default.
- W2951892017 created "2019-06-27" @default.
- W2951892017 creator A5010493731 @default.
- W2951892017 date "2004-06-17" @default.
- W2951892017 modified "2023-09-27" @default.
- W2951892017 title "Arens-Michael enveloping algebras and analytic smash products" @default.
- W2951892017 hasPublicationYear "2004" @default.
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