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SUMMARY:Marco Mackaay (Universidade do Algarve)
DTSTART:20260505T130000Z
DTEND:20260505T140000Z
DTSTAMP:20260512T123933Z
UID:UEAPS/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/77/">K
 ostant's problem for fully commutative permutations</a>\nby Marco Mackaay 
 (Universidade do Algarve) as part of ANTLR seminar\n\nLecture held in QUEE
 NS 01.09.\n\nAbstract\nKostant's problem is a well-known problem in the re
 presentation theory of complex semi-simple finite-dimensional Lie algebras
 \, defined and popularized by Joseph in a famous paper from 1980. It asks 
 for which simple modules L of such a Lie algebra g the universal envelopin
 g algebra U(g) surjects onto the space of adjointly finite linear endomorp
 hisms of L. If L is finite-dimensional\, the answer follows from the Artin
 -Wedderburn theorem\, but if L is infinite-dimensional\, the answer is not
  known in general. In my talk\, I will explain what the answer is for a na
 tural class of simple modules of the special linear Lie algebra sl(n) whic
 h are indexed by fully commutative permutations. This is joint work with V
 olodymyr Mazorchuk and Vanessa Miemietz.\n
LOCATION:https://researchseminars.org/talk/UEAPS/77/
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