01269nam a2200205Ia 4500 CTU_134391 210402s9999 xx 000 0 und d 1663000 512.55 L433 Le Bruyn, Lieven Noncommutative geometry and cayley-smooth orders Lieven Le Bruyn Boca Raton Chapman & Hall/CRC 2008 The text covers the tale local structure of such orders and their central singularities and finite dimensional representations. It is based on a series of courses given since 1999 in the advanced master program on noncommutative geometry, organized by the Noncommutative Geometry (NOG) project, sponsored by the European Science Foundation. Background information on invariant theory, algebraic geometry, central simple algebras, and the representation theory of quivers is given, followed by chapters on the main results of Cayley-smooth orders, semisimple representations, nilpotent representations, noncommutative manifolds, and moduli spaces. Noncommutative differential geometry.,Cayley-Hamilton theorem.,Đại số tuyến tính Trọng Hải Trung tâm Học liệu Trường Đại học Cần Thơ