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SUMMARY:Alexey Petukhov (Institute for Information Transmission Problems\,
  Russia)
DTSTART:20230717T150000Z
DTEND:20230717T160000Z
DTSTAMP:20260423T021119Z
UID:ENAAS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/33/">W
 itt Lie algebra and the associated primitive ideals</a>\nby Alexey Petukho
 v (Institute for Information Transmission Problems\, Russia) as part of Eu
 ropean Non-Associative Algebra Seminar\n\n\nAbstract\nIn my talk I would l
 ike to discuss my joint articles with S. Sierra about the primitive ideals
  of universal enveloping U(W) and the symmetric algebra S(W) of Witt Lie a
 lgebra W and similar Lie algebras (including Virasoro Lie algebra). The ke
 y theorem in this setting is that every nontrivial quotient by a two-sided
  ideal of U(W) or S(W) has finite Gelfand-Kirillov dimension. Together wit
 h S. Sierra we enhanced this statement to the description of primitive Poi
 sson ideals of S(W) in terms of certain points on the complex plane plus a
  few parameters attached to these points. In the end I will try to explain
  how all these concepts works for the ideals whose quotient has Gelfand-Ki
 rillov dimension 2.\n
LOCATION:https://researchseminars.org/talk/ENAAS/33/
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