加权曲面代数:一般版本。勘误
Weighted surface algebras: general version. Corrigendum
摘要:
在[arXiv:1902.04063]中,我们推广了[arXiv:1703.02346]中加权曲面代数的原始定义,允许箭头可能不是Gabriel代数的一部分,这给出了一个更大的代数类。这意味着零关系需要修改,以确保代数是对称的,并且具有适当的维数。我们最近发现,我们错过了零关系的一个必要修改。这里我们给出正确的定义,并修改[arXiv:1902.04063]中受此修改影响的部分。
英文摘要:
In [arXiv:1902.04063] we generalize the original definition of weighted surface algebras in [arXiv:1703.02346] by allowing the possibility that arrows might not be part of the Gabriel quiver, which gives a much larger class of algebras. This means that the zero relations need modification, to make sure that the algebras are symmetric, and of the appropriate dimension. We found recently that we had missed one necessary modification for the zero relations. Here we give the correct definition, and revise the parts of [arXiv:1902.04063] which are affected by this modification.
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