报告题目： Cluster-tilted algebras and Borcherds type Lie algebras 

报告人：    付昌建,  四川大学

时间：        2024年5月16日(星期四),  16:00-17:00

地点：        五教5401

摘要：For each piecewise hereditary algebra, we introduce a Lie algebra called Borcherds type Lie algebra via the construction of vertex operator algebras. This Lie algebra is invariant under derived equivalence, hence can be understood as a Lie algebra associated with the corresponding cluster-tilted algebras. We establish a link between representation theory of a cluster-tilted algebra and root system of the associated Lie algebra, which improves a result discovered by Ringel for cluster-concealed algebras. This is a joint work with S. Geng and P. Liu.

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