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SUMMARY:Simone Blumer (University of Vienna\, Austria)
DTSTART:20250526T150000Z
DTEND:20250526T160000Z
DTSTAMP:20260423T035939Z
UID:ENAAS/137
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/137/">
 Quadratically defined Lie algebras and HNN-extension</a>\nby Simone Blumer
  (University of Vienna\, Austria) as part of European Non-Associative Alge
 bra Seminar\n\n\nAbstract\nIn this talk\, we will delve into the class of 
 Lie algebras defined by quadratic relations\, focusing on the explicit com
 putation of their cohomology rings in specific cases. These algebras natur
 ally arise in the broader context of positively graded Lie algebras\, wher
 e they play a significant structural role. The theory of HNN-extensions pl
 ays a crucial role in this context\, providing a powerful tool for decompo
 sing quadratic Lie algebras into smaller components. Moreover\, we will ex
 plore how HNN-extensions can be used to embed finitely presented positivel
 y graded Lie algebras into quadratic ones.\n
LOCATION:https://researchseminars.org/talk/ENAAS/137/
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