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SUMMARY:Grantcharov Dimitar (University of Texas at Arlington\, United Sta
 tes of America)
DTSTART:20230901T133500Z
DTEND:20230901T140500Z
DTSTAMP:20260423T024540Z
UID:RLRT23/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RLRT23/9/">W
 eight modules of Lie superalgebras at infinity</a>\nby Grantcharov Dimitar
  (University of Texas at Arlington\, United States of America) as part of 
 Representations of Lie Superalgebras and Related Topics\n\n\nAbstract\nIn 
 this talk we will discuss bounded weight modules\, i.e.\, modules that dec
 ompose as direct sums of weight spaces and whose sets of weight multiplici
 ties are uniformly bounded. Our main focus will be on the direct limits of
  classical Lie (super)algebras. In particular\, we will present the classi
 fication of the simple bounded weight modules over $\\mathfrak{sl} (\\inft
 y)$\, $\\mathfrak{o} (\\infty)$\, $\\mathfrak{sp} (\\infty)$\, as well as 
 over their super-analogs. A key role in the study plays the theory of weig
 ht modules over Weyl and Clifford superalgebras of infinitely many variabl
 es. The talk is based on joint works with I. Penkov and V. Serganova.\n\nM
 eeting ID: 925 4420 8640 Passcode: 123089\n
LOCATION:https://researchseminars.org/talk/RLRT23/9/
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