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,