The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two
arXiv:1309.0998 · doi:10.1016/j.jalgebra.2015.04.013
Abstract
For any finitely dimensional associative algebra with global dimension , we show that there is an embedding from the twisted Ringel-Hall algebra to the Brigeland's Ringel-Hall algebra. In particular, this result is true for tilted algebras and canonical algebras.
arXiv admin note: text overlap with arXiv:1111.0745 by other authors;The title changed