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SUMMARY:Pablo Zadunaisky (University of Buenos Aires\, Argentina)
DTSTART:20241118T150000Z
DTEND:20241118T160000Z
DTSTAMP:20260423T052755Z
UID:ENAAS/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/104/">
 Clebsch-Gordan revisited</a>\nby Pablo Zadunaisky (University of Buenos Ai
 res\, Argentina) as part of European Non-Associative Algebra Seminar\n\n\n
 Abstract\nBy an ultra classical result\, the tensor product of a simple re
 presentation of gl(n\,C) and its defining representation decomposes as a d
 irect sum of simple representations without multiplicities. This means tha
 t for each highest weight\, the space of highest weight vectors is one dim
 ensional. We will give an explicit construction of these highest weight ve
 ctors\, and show that they arise from the action of certain elements in th
 e enveloping algebra of gl(n\,c)+gl(n\,C) on the tensor product. These ele
 ments are independent of the simple representation we started with\, and i
 n fact produce highest weight vectors in several other contexts. (Joint wi
 th Joanna Meinel from Bonn University)\n
LOCATION:https://researchseminars.org/talk/ENAAS/104/
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