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基本説明
Based on lectures given at a conference held at Colorado State University.
Full Description
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Contents
Introduction A division algebra is a central simple algebra Azumaya algebras at the generic point The Brauer group Form of matrices Torsion question Galois extensions Crossed products and cohomology Corestriction Orders and regular domains Ramification Specialization and lifting Lattice methods Brauer Severi varieties Generic division algebra Bibliography.