%0 Thesis %D 2007 %T Noncommutative geometry and quantum group symmetries %A Francesco D'Andrea %K Noncommutative geometry %X It is a widespread belief that mathematics originates from the desire to understand (and eventually to formalize) some aspects of the real world. Quoting [Man07], «we are doing mathematics in order to understand, create, and handle things, and perhaps this understanding is mathematics» . Let me thus begin with a brief discussion of the physical ideas that motivated the development of Noncommutative Geometry and Quantum Group Theory - the areas of mathematics to which this dissertation belongs. Some physicists believe, and Einstein himself expressed this view in [Ein98a], that physics progresses in stages: there is no `final\\\' theory of Nature, but simply a sequence of theories which provide more and more accurate descriptions of the real world... %I SISSA %G en %U http://hdl.handle.net/1963/5269 %1 5093 %2 Mathematics %3 Mathematical Physics %4 -1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2012-01-24T08:56:37Z\\nNo. of bitstreams: 1\\nPhD_D\\\'Andrea_Francesco.pdf: 1636959 bytes, checksum: 0d673f9b1d591a36bd4883bedc49422a (MD5)