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SUMMARY:Lucas Buzaglo (University of Edinburgh\, UK)
DTSTART:20240205T150000Z
DTEND:20240205T160000Z
DTSTAMP:20260423T021126Z
UID:ENAAS/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/55/">D
 erivations\, extensions\, and rigidity of subalgebras of the Witt algebra<
 /a>\nby Lucas Buzaglo (University of Edinburgh\, UK) as part of European N
 on-Associative Algebra Seminar\n\n\nAbstract\nWe study Lie algebraic prope
 rties of subalgebras of the Witt algebra and the one-sided Witt algebra: w
 e compute derivations\, one-dimensional extensions\, and automorphisms of 
 these subalgebras. In particular\, all these properties are inherited from
  the full Witt algebra (e.g. derivations of subalgebras are simply restric
 tions of derivations of the Witt algebra). We also prove that any isomorph
 ism between subalgebras of finite codimension extends to an automorphism o
 f the Witt algebra. We explain this "rigid" behavior by proving a universa
 l property satisfied by the Witt algebra as a completely non-split extensi
 on of any of its subalgebras of finite codimension. This is a purely Lie a
 lgebraic property which I will introduce in the talk.\n
LOCATION:https://researchseminars.org/talk/ENAAS/55/
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