Lectures on Division Algebras

American Mathematical Society (Autor)

Buch | Softcover

1999
American Mathematical Society (Verlag)
978-0-8218-0979-2 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	30.5.1999
Reihe/Serie	CBMS Regional Conference Series in Mathematics
Zusatzinfo	bibliography
Verlagsort	Providence
Sprache	englisch
Gewicht	231 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-8218-0979-2 / 0821809792
ISBN-13	978-0-8218-0979-2 / 9780821809792
Zustand	Neuware