Abstract:
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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