Description

Book Synopsis
Although division algebras are a very classical object, this book presents this 'classical' material in a new way, highlighting various approaches and fresh theorems, and illuminating the connections with a variety of areas in mathematics. It is based on lectures on division algebras given at a conference held at Colorado State University.

Table of 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.

Lectures on Division Algebras

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Lectures on Division Algebras by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/1999 12:00:00 AM
      ISBN13: 9780821809792, 978-0821809792
      ISBN10: 0821809792

      Description

      Book Synopsis
      Although division algebras are a very classical object, this book presents this 'classical' material in a new way, highlighting various approaches and fresh theorems, and illuminating the connections with a variety of areas in mathematics. It is based on lectures on division algebras given at a conference held at Colorado State University.

      Table of 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.

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