从Brauer图代数到双权曲面代数
From Brauer graph algebras to biserial weighted surface algebras
摘要：
证明了Brauer图代数类与双权曲面代数的不可分解幂等代数类是一致的。这些代数与具有任意定向三角形的三角化曲面相关联，在[17]和[18]中进行了研究。此外，我们证明了Brauer图代数是周期加权曲面代数的幂等代数。
英文摘要：
We prove that the class of Brauer graph algebras coincides with the class of indecomposable idempotent algebras of biserial weighted surface algebras. These algebras are associated to triangulated surfaces with arbitrarily oriented triangles, investigated in [17] and [18]. Moreover we prove that Brauer graph algebras are idempotent algebras of periodic weighted surface algebras, investigated in [17] and [19].
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