Exceptional Lie algebras and the structure of hermitian symmetric spaces / / Daniel Drucker
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| Autore: |
Drucker Daniel <1946->
|
| Titolo: |
Exceptional Lie algebras and the structure of hermitian symmetric spaces / / Daniel Drucker
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1978] |
| ©1978 | |
| Descrizione fisica: | 1 online resource (214 p.) |
| Disciplina: | 512/.55 |
| Soggetto topico: | Exceptional Lie algebras |
| Hermitian symmetric spaces | |
| Note generali: | Cover title. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""SOME NOTATIONAL CONVENTIONS""; ""I. ALGEBRAIC PRELIMINARIES""; ""1. Algebras""; ""2. Alternative algebras""; ""3. Composition algebras""; ""4 . Jordan algebras""; ""5. The Tits construction""; ""II. e[sub(6)] AND e[sub(7)]""; ""1. Notational conventions""; ""2. Some derivation algebras""; ""3. The Lie multiplication in e[sub(6)]""; ""4. The Lie multiplication in e[sub(7)]""; ""III. GEOMETRIC PRELIMINARIES""; ""1. Adjoint representations""; ""2. Cartan decompositions""; ""3 . Hermitian symmetric spaces""; ""4. Duality""; ""5. Rank"" |
| ""6 .Classification""""7. Roots and Cayley transforms""; ""8. Imbedding theorems""; ""9. Restricted roots""; ""10. Langlands' theorem""; ""11 . Orbits and holomorphic arc components""; ""12. Jordan structure""; ""IV. THE CLASSICAL DOMAINS""; ""1. The method""; ""2. Determination of the realizations""; ""3. Equivalence with the standard realizations""; ""V. THE 27�DIMENSIONAL EXCEPTIONAL DOMAIN""; ""1. Determination of bounded realization by use of Tits' construction""; ""2. Comparison with the realizations of Koecher and Ise""; ""VI. THE 16�DIMENSIONAL EXCEPTIONAL DOMAIN"" | |
| ""1. Determination of bounded realization by use of Tits' construction""""2. Comparison with the realizations of Koecher and Ise""; ""VII. ORBITS""; ""1 . The orbit pullbacks in general""; ""2. Determination of the orbit pullbacks""; ""VIII. HOLOMORPHIC ARC COMPONENTS""; ""1. The holomorphic arc component pullbacks in general""; ""2. Determination of the holomorphic arc component pullbacks: the classical cases""; ""3. Determination of the holomorphic arc component pullbacks: the exceptional cases""; ""APPENDIX A. CAYLEY ALGEBRAS""; ""APPENDIX B. DERIVATIONS OF [omitted]E"" | |
| ""APPENDIX C. DERIVATION ALGEBRAS IN TITS' CONSTRUCTION""""LIST OF NOTATIONS""; ""BIBLIOGRAPHY"" | |
| Titolo autorizzato: | Exceptional Lie algebras and the structure of hermitian symmetric spaces |
| ISBN: | 1-4704-0355-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788892003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; number 208.