Webalgebras of finite groups, Hecke algebras and special biserial algebras. The last family is particularly interesting, as large parts of the representation theory and (co)homology are well-studied and understood. The class of symmetric special biserial algebras coincides with the class of Brauer graph algebras [32]. WebAs a corollary of Theorems 1.1 and 1.2 and the fact that Brauer graph algebras can be derived equivalent only to symmetric stably biserial algebras [8] we obtain the following: Corollary 1.3. The class of Brauer graph algebras is closed under derived equivalence. Namely, if A is an algebra Morita equivalent to a Brauer graph algebra and B is an

Bisection - Wikipedia

WebFeb 7, 2024 · Our models use the oriented flip graphs and noncrossing tree partitions, previously introduced by the authors, and a description of the extension spaces between indecomposable modules over tiling algebras. In addition, we classify two-term simple-minded collections in bounded derived categories of tiling algebras. WebJun 14, 2024 · The structure of symmetric stably biserial algebras is analyzed. It is shown that in characteristic other than 2, the classes of symmetric special biserial (Brauer … csl air conditioning

Mutation of symmetric special biserial algebras

http://export.arxiv.org/abs/2209.05696 WebMay 1, 2015 · Any Brauer graph algebra is derived equivalent to a Brauer double-star algebra whose Brauer graph has the same number of the edges and the same multiplicities of the vertices. Our proof of Theorem 1.4 is given in terms of the corresponding symmetric special biserial algebras ( Theorem 4.1 ). WebMay 25, 2014 · This is a symmetric special biserial algebra and hence a Brauer graph algebra of which we explicitly give the Brauer graph. We further show that a Brauer … eagle of the sea