BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lleonard Rubio y Degrassi (Uppsala University\, Sweden) DTSTART:20230807T150000Z DTEND:20230807T160000Z DTSTAMP:20260423T035616Z UID:ENAAS/35 DESCRIPTION:Title: H ochschild cohomology groups under gluing idempotents\nby Lleonard Rubi o y Degrassi (Uppsala University\, Sweden) as part of European Non-Associa tive Algebra Seminar\n\n\nAbstract\nStable equivalences occur frequently i n the representation theory of finite-dimensional algebras\; however\, the se equivalences are poorly understood. An interesting class of stable equi valences is obtained by ‘gluing’ two idempotents. More precisely\, let A be a finite-dimensional algebra with a simple projective module and a s imple injective module. Assume that B is a subalgebra of A having the same Jacobson radical. Then B is constructed by identifying the two idempotent s belonging to the simple projective module and to the simple injective mo dule\, respectively. \n\nIn this talk\, we will compare the first Hochschi ld cohomology groups of finite-dimensional monomial algebras under gluing two arbitrary idempotents (hence not necessarily inducing a stable equival ence). As a corollary\, we will show that stable equivalences obtained by gluing two idempotents provide 'some functoriality' to the first Hochschil d cohomology\, that is\, HH^1(A) is isomorphic to a quotient of HH^1(B).\n LOCATION:https://researchseminars.org/talk/ENAAS/35/ END:VEVENT END:VCALENDAR