Jonathan Dixon (Queen Mary College)

Friday 15th August, 12.05-12.55pm, Carslaw 159

Projectives in quantised category O

For a (quantised) hyperalgebra U_K(g), let O be the category of finitely generated weight modules on which U_K(b⁺) acts locally nilpotently. The simple modules in O are the unique irreducible quotients of Verma modules. Assuming a PBW-type basis, this talk characterises the projective modules in the characteristic p, quantum and mixed cases, and gives a BGG reciprocity result.