The Brauer-Hasse-Noether Theorem in Historical Perspective / Edition 1

The Brauer-Hasse-Noether Theorem in Historical Perspective / Edition 1

by Peter J. Roquette, P. Roquette
     
 

ISBN-10: 354023005X

ISBN-13: 9783540230052

Pub. Date: 11/28/2004

Publisher: Springer Berlin Heidelberg

The legacy of Helmut Hasse, consisting of letters, manuscripts and other - pers, is kept at theHandschriftenabteilung of the University Library at Gottin- ¨ gen.Hassehadanextensivecorrespondence;helikedtoexchangemathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal

Overview

The legacy of Helmut Hasse, consisting of letters, manuscripts and other - pers, is kept at theHandschriftenabteilung of the University Library at Gottin- ¨ gen.Hassehadanextensivecorrespondence;helikedtoexchangemathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical - terest, searching through this treasure can help us to assess the development of Number Theory through the 1920’s and 1930’s. Unfortunately, most of the correspondence is preserved on one side only, i.e., the letterssenttoHasse are availablewhereasmanyoftheletterswhichhadbeensentfromhim,oftenha- written, seem to be lost. So we have to interpolate, as far as possible, from the repliestoHasseandfromothercontexts,in order to find out what he had written 1 in his outgoing letters. The present article is largely based on the letters and other documents which I have found concerning the Brauer-Hasse-NoetherTheorem in the theory of algebras; this covers the years around 1931. Besides the do- ments from the Hasse and the Brauer legacy in Gottingen, ¨ I shall also use some letters from Emmy Noether to Richard Brauer which are preserved at the Bryn Mawr College Library (Pennsylvania, USA).

Product Details

ISBN-13:
9783540230052
Publisher:
Springer Berlin Heidelberg
Publication date:
11/28/2004
Series:
Schriften der Mathematisch-naturwissenschaftlichen Klasse Series, #15
Edition description:
2005
Pages:
92
Product dimensions:
6.00(w) x 9.10(h) x 0.30(d)

Table of Contents

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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