Lectures on division algebras
著者
書誌事項
Lectures on division algebras
（Regional conference series in mathematics, no. 94）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1999
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注記
At head of title: Conference Board of the Mathematical Sciences
"[Based on lectures given by the author at the] CBMS Conference on Division Algebras, held at Colorado State University, Fort Collins, June 14-18, 1998" -- T.p. verso
Bibliography: p. 117-120
内容説明・目次
内容説明
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.
目次
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.
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