BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Matassa (Oslo Metropolitan University\, Norway) DTSTART:20240701T140000Z DTEND:20240701T150000Z DTSTAMP:20260422T182333Z UID:QGS/120 DESCRIPTION:Title: Eq uivariant quantizations of the positive nilradical and covariant different ial calculi\nby Marco Matassa (Oslo Metropolitan University\, Norway) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\nWe consider the pro blem of quantizing the positive nilradical of a complex semisimple Lie alg ebra of finite rank\, together with a certain fixed direct sum decompositi on. The decompositions we consider are in one-to-one correspondence with t otal orders on the simple roots\, and exhibit the nilradical as a direct s um of graded modules for appropriate Levi factors. We show that this situa tion can be quantized equivariantly as a finite-dimensional subspace withi n the positive part of the corresponding quantized enveloping algebra. Fur thermore\, we show that such subspaces give rise to left coideals\, with t he possible exception of components corresponding to some exceptional Lie algebras\, and this property singles them out uniquely. Finally\, we discu ss how to use these quantizations to construct covariant first-order diffe rential calculi on quantum flag manifolds\, which coincide with those intr oduced by Heckenberger-Kolb in the irreducible case.\n LOCATION:https://researchseminars.org/talk/QGS/120/ END:VEVENT END:VCALENDAR