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The Brauer-Hasse-Noether Theorem in Historical Perspective
Taschenbuch von Peter Roquette
Sprache: Englisch

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Beschreibung
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).
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).
Über den Autor
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.
Zusammenfassung

History of algebraic number theory in the twenties and thirties of last century

Based on historial documents as letters, manuscripts and published articles

Includes supplementary material: [...]

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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Schriften der Mathematisch-naturwissenschaftlichen Klasse
Inhalt: vi
92 S.
1 s/w Illustr.
92 p. 1 illus.
ISBN-13: 9783540230052
ISBN-10: 354023005X
Sprache: Englisch
Herstellernummer: 11318798
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Roquette, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Schriften der Mathematisch-naturwissenschaftlichen Klasse
Maße: 235 x 155 x 6 mm
Von/Mit: Peter Roquette
Erscheinungsdatum: 17.11.2004
Gewicht: 0,166 kg
Artikel-ID: 102421223
Über den Autor
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.
Zusammenfassung

History of algebraic number theory in the twenties and thirties of last century

Based on historial documents as letters, manuscripts and published articles

Includes supplementary material: [...]

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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Schriften der Mathematisch-naturwissenschaftlichen Klasse
Inhalt: vi
92 S.
1 s/w Illustr.
92 p. 1 illus.
ISBN-13: 9783540230052
ISBN-10: 354023005X
Sprache: Englisch
Herstellernummer: 11318798
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Roquette, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Schriften der Mathematisch-naturwissenschaftlichen Klasse
Maße: 235 x 155 x 6 mm
Von/Mit: Peter Roquette
Erscheinungsdatum: 17.11.2004
Gewicht: 0,166 kg
Artikel-ID: 102421223
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