Geodesic
Arens--Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type and homological epimorphisms
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 1, pp. 117-136

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Our aim is to give an explicit description of the Arens–Michael envelope for the universal enveloping algebra of a finite-dimensional nilpotent complex Lie algebra. It turns out that the Arens–Michael envelope belongs to a class of completions introduced by R. Goodman in 1970s. To find a precise form of this algebra we characterize preliminary the set of holomorphic functions of exponential type on a simply connected nilpotent complex Lie group. This approach leads to unexpected connections to Riemannian geometry and the theory of order and type for entire functions. As a corollary, it is shown that the Arens–Michael envelope considered above is a homological epimorphism. So we get a positive answer to a question investigated earlier by Dosi and Pirkovskii. References: 36 entries. 
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     title = {Arens--Michael envelopes of nilpotent {Lie} algebras, holomorphic functions of exponential type and homological epimorphisms},
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O. Yu. Aristov. Arens--Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type and homological epimorphisms. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 1, pp. 117-136. http://geodesic.mathdoc.fr/item/MMO_2020_81_1_a4/