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Geometrische Methoden in der Invariantentheorie de Hanspeter Kraft

Geometrische Methoden in der Invariantentheorie: Aspects of Mathematics, cartea 1

Autor Hanspeter Kraft
de Limba Germană Paperback – 1984

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Specificații

ISBN-13: 9783528085254
ISBN-10: 3528085258
Pagini: 320
Ilustrații: X, 308 S.
Dimensiuni: 170 x 244 x 20 mm
Greutate: 0.51 kg
Ediția:1984
Editura: Vieweg+Teubner Verlag
Colecția Vieweg+Teubner Verlag
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Research

Cuprins

Einführung.- I. Einführende Beispiele.- 1. Euklidische Geometrie.- 2. Quadratische Formen.- 3. Konjugationsklassen von Matrizen.- 4. Invarianten mehrerer Vektoren.- 5. Nullformen.- 6. Assoziierte Kegel und Deformationen.- 7. Ternäre kubische Formen.- II. Gruppenoperationen, Invariantenringe und Quotienten.- 1. Algebraische Gruppen.- 2. Gruppenoperationen und lineare Darstellungen.- 3. Quotienten bei linear reduktiven Gruppen.- 4. Beispiele und Anwendungen.- III. Darstellungstheorie und die Methode der U-Invarianten.- 1. Darstellungstheorie linear reduktiver Gruppen.- 2. Das Hilbertkriterium.- 3. U-Invarianten und Normalitäts fragen.- 4. SL-Einbettungen.- Anhang I. Einige Grundlagen aus der algebraischen Geometrie.- 1. Affine Varietäten.- 2. Reguläre Abbildungen.- 3. Dimension.- 4. Normale Varietäten.- 5. Tangential räum und reguläre Punkte.- 6. Hyperflachen und Divisoren.- 7. C-Topologie auf affinen Varietäten.- Anhang II. Lineare Reduktivität der klassischen Gruppen.- 1. Topologische Gruppen, Liegruppen.- 2. Klassische Gruppen.- 3. Haarsches Mass auf kompakten Gruppen.- 4. Volle Reduzibilität der Darstellungen kompakter Gruppen.- 5. Lineare Reduktivität der klassischen Gruppen.- 6. Maximal kompakte Untergruppen.- 7. Cartan-und Iwasawazerlegung.- Symbole und Notationen.- Register.