Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588187 | Journal of Algebra | 2008 | 16 Pages |
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