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SUMMARY:Michiel Smet (Ghent University\, Belgium)
DTSTART:20251027T150000Z
DTEND:20251027T160000Z
DTSTAMP:20260423T052500Z
UID:ENAAS/146
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/146/">
 Cubic norm pairs and hermitian cubic norm structures</a>\nby Michiel Smet 
 (Ghent University\, Belgium) as part of European Non-Associative Algebra S
 eminar\n\n\nAbstract\nCubic norm structures were originally introduced by 
 McCrimmon to generalize Springer's construction of Jordan algebras from a 
 pairing of cubic forms. These cubic norm structures appear naturally in th
 e study of (exceptional) Lie algebras and (exceptional) linear algebraic g
 roups. Later\, Allison introduced structurable algebras. One of the main c
 lasses of structurable algebras is closely related to cubic norm structure
 s. Moreover\, the natural appearances of cubic norm structures can often b
 e understood in terms of this class of structurable algebras. To better un
 derstand this class of structurable algebras\, De Medts introduced hermiti
 an cubic norm structures.\nIn this talk\, we introduce cubic norm pairs an
 d hermitian cubic norm structures over arbitrary commutative rings and con
 struct an associated structurable algebra\, Lie algebra\, and automorphism
  group. We also study the behaviour of certain automorphism groups.\n
LOCATION:https://researchseminars.org/talk/ENAAS/146/
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