BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Souvik Pal (Harish Chandra Research Institute\, Allahabad) DTSTART:20210326T093000Z DTEND:20210326T103000Z DTSTAMP:20260423T004036Z UID:ARCSIN/3 DESCRIPTION:Title: L evel zero integrable modules with finite-dimensional weight spaces for the graded Lie tori\nby Souvik Pal (Harish Chandra Research Institute\, Allahabad) as part of ARCSIN - Algebra\, Representations\, Combinatorics a nd Symmetric functions in INdia\n\n\nAbstract\nAn important problem in the representation theory of affine and toroidal Lie algebras is to classify all possible irreducible integrable modules with finite-dimensional weight spaces. The centres of both affine and toroidal Lie algebras are spanned by finitely many elements. If all these central elements act trivially on a module\, we say that the representation has level zero\, otherwise it is said to have non-zero level. The classification of these irreducible inte grable modules with finite-dimensional weight spaces over the affine Kac-M oody algebras (both twisted and untwisted) have been completely settled by V. Chari and A. Pressley. This was subsequently generalized by S. Eswara Rao for the (untwisted) toroidal Lie algebras. Recently\, the aforemention ed irreducible integrable modules of non-zero level have been classified f or a more general class of Lie algebras\, namely the graded Lie tori\, whi ch are multivariable generalizations of twisted affine Kac-Moody algebras. In this talk\, I shall address the mutually exclusive problem and hencefo rth classify all the level zero irreducible integrable modules with finite -dimensional weight spaces for this graded Lie tori.\n LOCATION:https://researchseminars.org/talk/ARCSIN/3/ END:VEVENT END:VCALENDAR