The author defines categories of normed bimodules over quiver tensor rings and claims an initial object whose unique morphisms give integrals, Taylor series, and Fourier series; the power-series claim rests on a false density statement.
Semilinear clannish algebras arising from surfaces with orbifold points
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abstract
Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, we associate semilinear clannish algebras to the (colored) triangulations of a surface with marked points and orbifold points, and exhibit a Morita equivalence between these algebras and the Jacobian algebras constructed a few years ago by Geuenich and the second author.
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Normed representations of weight quivers
The author defines categories of normed bimodules over quiver tensor rings and claims an initial object whose unique morphisms give integrals, Taylor series, and Fourier series; the power-series claim rests on a false density statement.