Lineare Algebra und Analytische Geometrie II
Language: German
Published by Vieweg+Teubner Verlag Jan 2012, 2012
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 53.05
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -Die Jordanzerlegung in halbeinfachen und nilpotenten Anteil lieferte uns die charakteristische Abbildung n M{n x n,K) ~ K , x die jeder Matrix A die Koeffizienten (a , ,a ) des charakteristischen 1 n Polynoms von A zuordnet. Mit Hilfe dieser Abbildung hatten wir das Klassi fikationsproblem in zwei Teilprobleme A und B aufgespalten. Problem A Hier bestand das Problem in der Klassifikation der halbeinfachen Matrizen bis auf Konjugation. Das Hauptresultat war der Satz 11.45 . Die Konjugations klassen halbeinfacher Matrizen entsprechen bijektiv den Punkten des affinen Raumes ~. Eine Einteilung der halbeinfachen Konjugationsklassen in Typen ergibt sich in naturlicher Weise durch die algebraischen Multiplizitaten der Eigenwerte Ai Dabei entsprechen die regularen Elemente, d.h. die n jenigen mit m = 1 , gerade den Punkten von K 1m Komplement der Disk- i n minantenmenge D cK , und den verschiedenen Typen von singul4ren Elementen entsprechen, wie wir an Beispielen gesehen haben, verschiedene Strata (d.h. Schichten) von D, welche man analytisch-geometrisch charakterisieren kann. 1m Fall K = Roder K = ~ sehen wir also, daB die Konjugationsklassen der halbeinfachen Anteile eine kontinuierliche Mannigfaltigkeit bilden, namlich einen affinen Raum Kn, und daB die weitere Typeneinteilung dieser Konju gationsklassen mit der analytischen Geometrie der Diskriminantenmengen n D c. K zusammenhangt. 552 pp. Deutsch.…
Seller Inventory # 9783322831774
- Title
- Lineare Algebra und Analytische Geometrie II
- Author
- Egbert Brieskorn
- Publisher
- Vieweg+Teubner Verlag Jan 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- German
- ISBN 10
- 3322831779
- ISBN 13
- 9783322831774
- Item weight
- 941 grams
- Dimensions
- 244x170x30 mm
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
Shipping rates from Germany to U.S.A.
| Item | 5 to 15 business days | 5 to 15 business days |
|---|---|---|
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BuchWeltWeit Ludwig Meier e.K.
Germany
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