Article ID Journal Published Year Pages File Type
4588187 Journal of Algebra 2008 16 Pages PDF
Abstract

We present results and examples which show that the consideration of a certain tubular mutation is advantageous in the study of noncommutative curves which parametrize the simple regular representations of a tame bimodule. We classify all tame bimodules where such a curve is actually commutative, or in different words, where the unique generic module has a commutative endomorphism ring. This extends results from [D. Kussin, Noncommutative curves of genus zero—Related to finite dimensional algebras, Mem. Amer. Math. Soc., in press] to arbitrary characteristic; in characteristic two additionally inseparable cases occur. Further results are concerned with autoequivalences fixing all objects but not isomorphic to the identity functor.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory