Algebry operatorów i ich zastosowania w fizyce

As a continuation of Réamon's talk, we introduce the Quantum Grassmannians Gr_q(k,n) and study them in the light of results on the Quantum Projective space. In particular, we will outline how the coquasitriangular structure on U_q(n) allows us to construct a Hopf Galois extension of the non-universal calculus over Gr_q(k,n). Finally, we will move toward a Borel-Bott-Weil theorem for the Quantum Grassmannians.