Poincar\'{e} series of quantum matrix bialgebras determined by a pair of   quantum spaces
  The dimension of the third homogeneous component of a matrix quantum bialgebra, determined by pair of quantum spaces, is calculated. The Poincar\'{e} series of some deformations of $GL(n)$ is calculated. A new deformation of $GL(3)$ with the correct dimension is given. 
Phung Ho Hai (Munich Univ.)