平面Galilean共形代数上的权模

2023.11.14

投稿:龚惠英部门:理学院浏览次数:

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报告题目 (Title):Weight modules over the planar Galilean conformal algebra(平面Galilean共形代数上的权模)

报告人 (Speaker): 郜东方 博士 (南开大学)

报告时间 (Time):2023年11月13日(周一) 13:00

报告地点 (Place):校本部 D123

邀请人(Inviter):孙建才

主办部门:理学院数学系

报告摘要:In this talk, we investigate the infinite-dimensional Galilean conformal algebra G in (2+1) dimensional space-time which is called the planar Galilean conformal algebra by Aizawa. We study irreducible weight G-modules with infinite-dimensional weight spaces where the support of such module could be one of three cases: λ+ Z, λ+Z+ or λ−Z+, which is different from that of the Virasoro algebra. We also construct a family of irreducible weight G-modules with infinite dimensional weight spaces.