Geodesic
Non-commutative holomorphic functions in elements of a~Lie algebra and the absolute basis problem
Izvestiya. Mathematics , Tome 73 (2009) no. 6, pp. 1149-1171

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We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra $\mathfrak g$. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
Keywords: holomorphic functions in elements of a Lie algebra, Arens–Michael envelope, localization. 
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     title = {Non-commutative holomorphic functions in elements of {a~Lie} algebra and the absolute basis problem},
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A. A. Dosi. Non-commutative holomorphic functions in elements of a~Lie algebra and the absolute basis problem. Izvestiya. Mathematics , Tome 73 (2009) no. 6, pp. 1149-1171. http://geodesic.mathdoc.fr/item/IM2_2009_73_6_a3/