数学学科Seminar第3010讲 有限域上一般线性群的特征与顶点算子

创建时间:  2026/03/20  邵奋芬   浏览次数:   返回

报告题目 (Title):Characters of the general linear groups over finite field and vertex operators(有限域上一般线性群的特征与顶点算子)

报告人 (Speaker):景乃桓 教授(美国州立大学)

报告时间 (Time):2026年3月22日(周日)16:00

报告地点 (Place):校本部F309

邀请人(Inviter):张红莲

主办部门:理学院数学系

报告摘要:I will present some recent works to compute general irreducible characters of the groups GL(n, q) via vertex operators. The new method enhances Green's theory of irreducible characters of the general linear groups over finite field, where the Grothendieck ring of representations are realized as two isomorphic Fock spaces associated to two infinite-dimensional equivariant Heisenberg Lie algebras. Under this picture, the irreducible characters can be computed in great generality. This is joint work with Yu Wu.

上一条:数学学科Seminar——核心数学研究所——几何与分析综合报告第119讲 非交换算子空间的逼近性质与球覆盖性质

下一条:数学学科Seminar第3009讲 关于不可约循环码的置换自同构群


数学学科Seminar第3010讲 有限域上一般线性群的特征与顶点算子

创建时间:  2026/03/20  邵奋芬   浏览次数:   返回

报告题目 (Title):Characters of the general linear groups over finite field and vertex operators(有限域上一般线性群的特征与顶点算子)

报告人 (Speaker):景乃桓 教授(美国州立大学)

报告时间 (Time):2026年3月22日(周日)16:00

报告地点 (Place):校本部F309

邀请人(Inviter):张红莲

主办部门:理学院数学系

报告摘要:I will present some recent works to compute general irreducible characters of the groups GL(n, q) via vertex operators. The new method enhances Green's theory of irreducible characters of the general linear groups over finite field, where the Grothendieck ring of representations are realized as two isomorphic Fock spaces associated to two infinite-dimensional equivariant Heisenberg Lie algebras. Under this picture, the irreducible characters can be computed in great generality. This is joint work with Yu Wu.

上一条:数学学科Seminar——核心数学研究所——几何与分析综合报告第119讲 非交换算子空间的逼近性质与球覆盖性质

下一条:数学学科Seminar第3009讲 关于不可约循环码的置换自同构群