The Brauer-Hasse-Noether Theorem in Historical Perspective

2005
ISBN: 978-3-540-23005-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 15, 92 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 166 g

Reihe: Schriften der Mathematisch-naturwissenschaftlichen Klasse

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,inorderto?ndoutwhathehadwritten 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).

Zielgruppe

Research

Autoren/Hrsg.

Roquette, Peter

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Algebra Elementare Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

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.