Abstract: In this talk I will introduce a method to
construct quantum function algebras from braided vector
spaces
using the FRT construction and finite-dimensional Nichols
algebras. It generalizes the construction of quantum function
algebras using quantum grassmanian algebras. The main idea is to
work with certain well-behaved objects, the Nichols algebras, on
the braided tensor category of comodules associated with the
FRT-bialgebra. It turns out that the braided vector space togheter
with the one-dimensional comodule associated with
the quantum determinant generate a rigid category which is
equivalent to the comodule category of the localized
FRT-bialgebra.
This talk is based on joint work with Marco Farinati (Univ. Buenos
Aires,
Argentina).