BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Palmkvist Jakob (Orebro University\, Sweden) DTSTART:20230901T121500Z DTEND:20230901T125500Z DTSTAMP:20260423T024511Z UID:RLRT23/7 DESCRIPTION:Title: G eneralised vector fields\nby Palmkvist Jakob (Orebro University\, Swed en) as part of Representations of Lie Superalgebras and Related Topics\n\n \nAbstract\nGiven any semisimple Kac-Moody algebra g\, any dominant integr al weight of g and any symmetric invariant bilinear form on g\, I will gen eralise the Lie superalgebra W(n) of formal vector fields on n odd coordin ates. The Lie superalgebra of generalised vector fields has a consistent Z -grading where a central extension of g generalises gl(n) at degree 0\, an d the irreducible module with the given highest weight is the subspace at degree -1\, generalising the n-dimensional fundamental module of gl(n). Ma ny well known Lie superalgebras appear as special cases (possibly after im posing a restriction on the subspace at degree 1)\, but also new ones that have not been studied before. Under certain conditions\, they are isomorp hic to tensor hierarchy algebras\, which are defined from a Cartan matrix by generators and relations. The tensor hierarchy algebras have been usefu l in the description of extended gravity theories in physics\, where ordin ary diffeomorphisms are generalised and unified with additional gauge tran sformations. The talk is based on collaborations with Martin Cederwall: 22 07.12417 and work in progress.\n\nMeeting ID: 925 4420 8640 Passcode: 1230 89\n LOCATION:https://researchseminars.org/talk/RLRT23/7/ END:VEVENT END:VCALENDAR