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SUMMARY:Dražen Adamovic (University of Zagreb\, Croatia)
DTSTART:20270906T150000Z
DTEND:20270906T160000Z
DTSTAMP:20261115T003356Z
UID:ENAAS/236
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/236/">
 W-algebras and representations of affine Lie algebras</a>\nby Dražen Adam
 ovic (University of Zagreb\, Croatia) as part of European Non-Associative 
 Algebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/78031
 81064\n\nAbstract\nQuantum Hamiltonian reduction associates W-algebras wit
 h affine Lie algebras and nilpotent elements. I will discuss inverse const
 ructions and their applications to the representation theory of affine Lie
  algebras and W-algebras. Starting with the relation between the affine Li
 e algebra $\\widehat{\\mathfrak{sl}}_2$ and the Virasoro algebra\, I will 
 explain how these constructions yield explicit realizations of irreducible
  modules. Further examples will involve $\\mathfrak{sl}_3$ and subregular 
 W-algebras of type A. The necessary notions from vertex algebra theory wil
 l be introduced.\n
LOCATION:https://researchseminars.org/talk/ENAAS/236/
URL:https://us02web.zoom.us/j/7803181064
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