Peter Roquette

The Brauer-Hasse-Noether Theorem in Historical Perspective (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer Berlin
• Erscheinungstermin: 30. März 2006
• Englisch
• ISBN-13: 9783540269687
• Artikelnr.: 37371160

Autorenporträt

The author is Professsor emeritus at the University of Heidelberg, Germany. He is a member of the Heidelberger Academy of Sciences and of the Academy Leopoldina at Halle. He has been awarded an honorary doctors degree from the University of Essen.

Inhaltsangabe

The Main Theorem: Cyclic Algebras.- The Paper: Dedication to Hensel.- The Local-Global Principle.- From the Local-Global Principle to the Main Theorem.- The Brauer Group and Class Field Theory.- The Team: Noether, Brauer and Hasse.- The American Connection: Albert.- Epilogue: Käte Hey.

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The Main Theorem: Cyclic Algebras.- The Paper: Dedication to Hensel.- The Local-Global Principle.- From the Local-Global Principle to the Main Theorem.- The Brauer Group and Class Field Theory.- The Team: Noether, Brauer and Hasse.- The American Connection: Albert.- Epilogue: Käte Hey.

Rezensionen

From the reviews:

"The Brauer-Hasse-Noether theorem, as it has come to be known, is one of the few for which we have a precise birth date: all evidence points to November 9, 1931 ... . Roquette's account is quite interesting ... . Any mathematician who wants to understand why a number theorist would get excited about a theorem dealing with division algebras will find the issue well explained. I learned a lot by reading it ... ." (Fernando Q. Gouvêa, MathDL - Online, October, 2006)

"This fascinating monograph is devoted to the genesis of one of the most famous articles in 20th-century number theory ... . Roquette gives a very clear picture of the structure of the proof and the main ideas involved in it. Thus the text is not just a historical overview but also a valuable piece of mathematical exposition. ... All in All, this is a fascinating case study of the evolution of groundbreaking mathematical ideas." (Tamás Szamuely, Mathematical Reviews, Issue 2006 m)