Symmetries in Science X

The international Symposium Symmetries in Science X was held at the Col- legium Mehrerau in Bregenz Austria during the period July 13-18 1997. Some 40 invited scientists from 13 countries participated in the meeting. The Symposium was sponsored by the Technische Universitat Graz the Land Vorarlberg Austria and the Landeshauptstadt Bregenz Vorarlberg Austria. I wish to thank Dr. Hubert Regner of the Amt der Vorarlberger Landesregierung tlw Biirgermeister and Landtagsprasident Dipl. -Vw. Siegfried Gasser for financial assistence for the meeting and Frater Albin Printschler of the Cloister Mehrerau for his continued support of the Symposium series. Bruno Gruber y CONTENTS Quantization on a Lie Group: Higher-Order Polarizations 1 V. Aldaya J. Guerrero and G. Marmo A Comparison between Algebraic Models of Molecular Spectroscopy 37 R. Bijker A. Frank R. Lemus J. M. Arias and F. Perez-Bernal On Disc: rete Media Their Interaction Forms and the Origin of Non-Exactness of the Virtual Work . . . . . . . . . . . . . . . . . . . . . 47 E. Binz The k-Fermions and Objects Interpolating between Fermions and Bosons 63 M. Daoud Y. Hassouni and M. Kibler Polynomial Realization of the Uq(sl(3)) Gelfand-(Weyl)-Zetlin Basis and Irregular Irreps at Roots of Unity . . . . . . . . . . . . . . 79 V. K. Dobrev and R. Truini Nonstandard Deformation U (son): The Imbedding U (son) C Uq(sln) and Representations . . . . . . . . . . . . . . . . . . . . . . 121 A. M. Gavrilik N. Z. Iorgov and A. U. Klimyk Algebraic: Methods in Physics 135 F. Iaehello Possible Origins of Quantum Fluctuations 145 M. Kanenaga and M.