BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jörg Feldvoss (University of South Alabama\, USA) DTSTART:20240916T150000Z DTEND:20240916T160000Z DTSTAMP:20260423T021120Z UID:ENAAS/90 DESCRIPTION:Title: S emi-simple Leibniz algebras\nby Jörg Feldvoss (University of South Al abama\, USA) as part of European Non-Associative Algebra Seminar\n\n\nAbst ract\nLeibniz algebras were introduced by Blo(c)h in the 1960’s and redi scovered by Loday in the 1990’s as non-anticommutative analogues of Lie algebras. Many results for Lie algebras have been proven to hold for Leibn iz algebras\, but there are also several results that are not true in this more general context. In my talk\, I will investigate the structure of se mi-simple Leibniz algebras. In particular\, I will prove a simplicity crit erion for (left) hemi-semidirect products of a Lie algebra g and a (left) g-module. For example\, in characteristic zero every finite-dimensional si mple Leibniz algebra is such a hemi-semidirect product. But this also hold s for some infinite-dimensional Leibniz algebras or sometimes in non-zero characteristics. More generally\, the structure of finite- dimensional sem i-simple Leibniz algebras in characteristic zero can be reduced to the wel l-known structure of finite-dimensional semi-simple Lie algebras and their finite-dimensional irreducible modules. If time permits\, I will apply th ese structure results to derive some properties of finite-dimensional semi -simple Leibniz algebras in characteristic zero and other Leibniz algebras that are hemi-semidirect products.\n LOCATION:https://researchseminars.org/talk/ENAAS/90/ END:VEVENT END:VCALENDAR