»ã±¨±êÌâ (Title)£ºWeight modules over the planar Galilean conformal algebra£¨Æ½ÃæGalilean¹²ÐδúÊýÉϵÄȨģ£©

»ã±¨ÈË (Speaker)£º Û¬¶«·½ ²©Ê¿ (ÄÏ¿ª´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ13ÈÕ(ÖÜÒ») 13:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿ D123

Ô¼ÇëÈË(Inviter)£ºËｨ²Å

Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ

»ã±¨ÌáÒª£ºIn 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: ¦Ë+ Z, ¦Ë+Z+ or ¦Ë?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.