BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carla Rizzo (University of Coimbra\, Portugal) DTSTART:20241111T150000Z DTEND:20241111T160000Z DTSTAMP:20260423T052548Z UID:ENAAS/95 DESCRIPTION:Title: D ifferential identities\, almost polynomial growth and matrix algebras\ nby Carla Rizzo (University of Coimbra\, Portugal) as part of European Non -Associative Algebra Seminar\n\n\nAbstract\nLet $F$ be a field of characte ristic zero\, $L$ a Lie algebra over $F$\, and $A$ an $L$-algebra - that i s\, an associative algebra over $F$ with an action of $L$ induced by deriv ations. This action of $L$ on $A$ can be extended to an action of its univ ersal enveloping algebra $U(L)$\, leading to the concept of $L$-identities or differential identities of $A$: polynomials in variables $x^u := u(x)$ \, where $u \\in U(L)$\, that vanish under all substitutions of elements f rom $A$. Differential identities were first introduced by Kharchenko in 19 78\, and\, in later years\, subsequent work by Gordienko and Kochetov has spurred a renewed interest in both their structure and quantitative proper ties. In this talk\, I will present recent results on the differential ide ntities of matrix $L$-algebras\, with a particular focus on their classifi cation and growth behavior.\n LOCATION:https://researchseminars.org/talk/ENAAS/95/ END:VEVENT END:VCALENDAR