IZVESTIYA MATHEMATICS, cilt.73, ss.1149-1171, 2009 (SCI İndekslerine Giren Dergi)
We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.