题目：Modified Ringel-Hall Algebras and Drinfeld Double

报告人：彭联刚（四川大学教授🔃🛀、杰青）

时间🌆👩🏼‍⚖️：2016年11月18日 10:00-11:00

地点：致远楼107室

摘要：

In this talk, we will discuss the Ringel-Hall algebras of a hereditary abelian category. From the category of the $/mathbb{Z}/2$-graded complexes over a hereditary abelian category, we consider a certain quotient algebra and some localization of its Ringel-Hall algebra, which is called the modified Ringel-Hall algebra. When this hereditary abelian category is finitary, in particular the category of representations of a quiver and the category of coherent sheaves on a weighted projective line over a finite field, we prove that the modified Ringel-Hall algebra is isomorphic to the Drinfeld double of the extended Ringel-Hall algebra of the hereditary abelian category.

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