»ã±¨±êÌâ (Title)£ºGelfand-Kirillov dimensions of highest weight modules (×î¸ßȨģµÄGelfand-KirillovάÊý)

»ã±¨ÈË (Speaker)£º°×ռǿ ¸±½ÌÊÚ (ËÕÖÝ´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ10ÈÕ(ÖÜÎå) 14:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿D123

Ô¼ÇëÈË(Inviter)£ººÎº£°²

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»ã±¨ÌáÒª£ºIn this talk, we will introduce the Gelfand-Kirillov dimension and associated variety of highest weight modules of simple Lie algebras. By using Lusztig's a-function we will give an algorithm to compute the Gelfand-Kirillov dimension of highest weight modules of classical type Lie algebras. Finally, we will give a characterization for the associated variety of highest weight Harish-Chandra modules of noncompact Lie groups of Hermitian type.