题目：Characters of GL(n,q）and Vertex Operators

报告人：Prof. Naihuan Jing  (北卡州立大学)

地点：致远楼101室

时间：2025年1月7日 10:30-11:30

摘要：We give a new approach to compute irreducible characters of the general linear group over the finite field. Character theory of GL(n,q) was a classic result of Green that shaped representation theory. Zelevinsky also used PSH Hopf algebras to reformulate Green's theory. The vertex algebraic method enhanced Green's theory and we realized the Hall algebra using two Fock spaces corresponding to extensions of Galois fields and their duals. As a result, a general formula of character values is obtained. Joint work with Yu Wu.

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