Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584624 | Journal of Algebra | 2014 | 26 Pages |
Abstract
In this paper we establish a connection between ribbon graphs and Brauer graphs. As a result, we show that a compact oriented surface with marked points gives rise to a unique Brauer graph algebra up to derived equivalence. In the case of a disc with marked points we show that a dual construction in terms of dual graphs exists. The rotation of a diagonal in an m-angulation gives rise to a Whitehead move in the dual graph, and we explicitly construct a tilting complex on the related Brauer graph algebras reflecting this geometrical move.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Robert J. Marsh, Sibylle Schroll,