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SUMMARY:Shun-Jen Cheng (Academia Sinica)
DTSTART:20260519T070000Z
DTEND:20260519T080000Z
DTSTAMP:20260513T125029Z
UID:OISTRTS/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/81/"
 >Whittaker modules and representations of finite W-algebras of queer Lie s
 uperalgebras</a>\nby Shun-Jen Cheng (Academia Sinica) as part of OIST repr
 esentation theory seminar\n\n\nAbstract\nWe study various categories of Wh
 ittaker modules over the queer Lie superalgebras. We formulate standard Wh
 ittaker modules and reduce the problem of composition factors of these sta
 ndard Whittaker modules to that of Verma modules in the corresponding BGG 
 categories. We establish equivalence of categories between the categories 
 of Whittaker modules and analogues of BGG category of finite W-algebra mod
 ules over the queer Lie superalgebra. This enables us to compute the compo
 sition factors of Verma modules over these finite W-algebras. This is base
 d on a joint work with Chih-Whi Chen.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/81/
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