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SUMMARY:Ágota Figula (University of Debrecen\, Hungary)
DTSTART:20260518T150000Z
DTEND:20260518T160000Z
DTSTAMP:20260602T193346Z
UID:ENAAS/174
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/174/">
 Malcev-like anti-commutative algebras</a>\nby Ágota Figula (University of
  Debrecen\, Hungary) as part of European Non-Associative Algebra Seminar\n
 \n\nAbstract\nThe tangent algebras of local analytic Moufang and diassocia
 tive loops are Malcev algebras and binary Lie algebras introduced by A. I.
  Malcev. Their classifications in low dimension are given by the works on 
 E. N. Kuzmin and A. T. Gainov. In the talk we discuss the classification o
 f solvable anti-commutative algebras that have the same decomposition prop
 erties as solvable Malcev or binary Lie algebras. The classification resul
 t enables us to find and study a family of binary Lie algebras for which t
 he closed form of the Baker-Campbell- Hausdorff series defines the multipl
 ication function of an analytic diassociative loop on the entire binary Li
 e algebra.\n
LOCATION:https://researchseminars.org/talk/ENAAS/174/
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