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arXiv · 1309.0998

The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two

Shengfei Geng·Liangang Peng
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Abstract

For any finitely dimensional associative algebra with global dimension $\leq 2$, 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.

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BibTeXRIS

Shengfei Geng, Liangang Peng. 2013-09-04. The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two. https://doi.org/10.1016/j.jalgebra.2015.04.013

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