BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andronick Arutyunov (Institute of Control Sciences\, Russia) DTSTART:20240401T150000Z DTEND:20240401T160000Z DTSTAMP:20260423T021138Z UID:ENAAS/76 DESCRIPTION:Title: D erivations and other inductive operator families\nby Andronick Arutyun ov (Institute of Control Sciences\, Russia) as part of European Non-Associ ative Algebra Seminar\n\n\nAbstract\nDerivations on group algebras are lin ear operators. They satisfy the Leibniz rule. Another example are Fox deri vatives\, which satisfy a different (but very similar) identity. We will g ive a construction which generalises all such identities and the correspon ding operator families. The main element of such a construction is an acti on groupoid and the space ofcharacters on it. The second step of the const ruction are characters on special graphs (action diagrams) which are equiv alent to classical Cayley graphs for the case of left multiplication actio n. I will show the way to interpret inner derivations as a special case of trivial on loops characters. And we will consider a more general ideal of quasi-inner derivations. These results are based on the author's results\ , and the main approach was proposed in collaboration with prof. A. S. Mis chchenko.\n LOCATION:https://researchseminars.org/talk/ENAAS/76/ END:VEVENT END:VCALENDAR