»ã±¨±êÌâ (Title)£º¾µäÀ´úÊýµÄ°µÊ¾(Representations of classical Lie superalgebras)
»ã±¨ÈË (Speaker)£ºProf. Alexander Molev (University of Sydney, Australia)
»ã±¨¹¦·ò (Time)£º2023Äê12ÔÂ5ÈÕ (Öܶþ) 10:00-11:00
»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309
Ô¼ÇëÈË(Inviter)£ºÕźìÁ« ½ÌÊÚ
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»ã±¨ÌáÒª£ºWe will review the classification theorems for finite-dimensional irreducible representations of the general linear and orthosymplectic Lie superalgebras. We will combine the approaches of Serganova (1985) based on the odd reflections and original work of Kac (1977) to produce a concise self-contained derivation of necessary and sufficient conditions for highest weight representations to be finite-dimensional.