1 citations · 1 across the 7 of their papers we have counts for
7 papers
Convergent noncommutative power series algebras and their finite dimensional representations
Frank Schuhmacher
We define ''convergence'' for noncommutative power series and construct two topologies on the algebra of power series, convergent with respect to a positive radius. We indicate all…
Analytic decomposition of differential graded Lie algebras
Frank Schuhmacher
We prove explit formulas for the decomposition of a differential graded Lie algebra into a minimal and a linear -algebra. We define a category of metric -algebr…
Noncommutative complex analytic spaces
Frank Schuhmacher
In this paper, we define NC complex spaces as complex spaces together with a structure sheaf of associative algebras in such a way that the abelization of the structure sheaf is th…
Three deformation functors for associative algebras
Frank Schuhmacher
We show that three deformation functors (deformations of the product, flat deformations and deformations of the relations) assigned to an associative algebra are naturally isomorph…
Deformation of singularities via -algebras
Frank Schuhmacher
This is an addendum to the paper ``Deformation of -Algebras'' of the same author. We explain in which way the deformation theory of -algebras extends the deform…
Deformation of -Algebras
Frank Schuhmacher
In this paper, deformations of -algebras are defined in such a way that the bases of deformations are -algebras, as well. A universal and a semiuniversal deform…