Type: Seminar

Distribution: World

Expiry: 15 Aug 2008

CalTitle1: Algebra Seminar: Dixon -- Projectives in quantised category O

Auth: anthonyh@asti.maths.usyd.edu.au

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.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |