AI 中文总结
该研究证明Brauer图代数在Morita型稳定等价下关于半单直和项封闭，借此重证其在导出等价下封闭，还解决了相关重构问题。
AI 中文摘要
我们研究Brauer图代数的Morita型稳定等价，特别证明Brauer图代数在Morita型稳定等价下关于半单直和项是封闭的。由此，我们重新证明了Antipov和Zvonareva的结果：Brauer图代数在导出等价下是封闭的。作为副产品，我们解决了Rickard与Rouquier提出的、关于与Brauer图代数Morita型稳定等价的代数的重构问题。
英文摘要
We study stable equivalences of Brauer graph algebras. In particular, we prove that Brauer graph algebras are closed up to semisimple summands under stable equivalence of Morita type. As a consequence, we reprove the result of Antipov and Zvonareva that Brauer graph algebras are closed under derived equivalence. As a byproduct, we get a solution of the reconstruction problem posed by Rickard and Rouquier for algebras stably equivalent of Morita type to Brauer graph algebras.
Comments40 pages. All comments are welcome!
