Monodromy for systems of vector bundles and multiplicative preprojective algebras
Monodromy for systems of vector bundles and multiplicative preprojective algebras
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向量丛和乘法预投影代数系统的单向性
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发表时间：
2011
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通讯作者：
W. Crawley
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作者：
W. Crawley
我们研究涉及黎曼曲面上的向量丛和对数连接以及连接其留数的线性代数数据的系统。这概括了变形前投影代数的表示。我们的主要结果是从此类系统到乘法原投影代数的表示的单向函子的存在。作为推论，我们证明与 Dynkin 箭袋相关的乘法原投影代数与通常的原投影代数同构。
We study systems involving vector bundles and logarithmic connections on Riemann surfaces and linear algebra data linking their residues. This generalizes representations of deformed preprojective algebras. Our main result is the existence of a monodromy functor from such systems to representations of a multiplicative preprojective algebra. As a corollary, we prove that the multiplicative preprojective algebra associated to a Dynkin quiver is isomorphic to the usual preprojective algebra.