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SUMMARY:Jonas Deré (Catholic University of Leuven\, Belgium)
DTSTART:20240826T150000Z
DTEND:20240826T160000Z
DTSTAMP:20260423T052501Z
UID:ENAAS/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/88/">S
 imply transitive NIL-affine actions of solvable Lie groups</a>\nby Jonas D
 eré (Catholic University of Leuven\, Belgium) as part of European Non-Ass
 ociative Algebra Seminar\n\n\nAbstract\nAlthough not every 1-connected sol
 vable Lie group G admits a simply transitive action via affine maps on R^n
 \, it is known that such an action exists if one replaces R^n by a suitabl
 e nilpotent Lie group H\, depending on G. However\, not much is known abou
 t which pairs of Lie groups (G\,H) admit such an action\, where ideally yo
 u only need information about the Lie algebras corresponding to G and H. I
 n recent work with Marcos Origlia\, we show that every simply transitive a
 ction induces a post-Lie algebra structure on the corresponding Lie algebr
 as. Moreover\, if H has nilpotency class 2 we characterize the post-Lie al
 gebra structures coming from such an action by giving a new definition of 
 completeness\, extending the known cases where G is nilpotent or H is abel
 ian.\n
LOCATION:https://researchseminars.org/talk/ENAAS/88/
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