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Record Nr. |
UNINA9910480588803321 |
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Autore |
Fioresi Rita <1966-> |
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Titolo |
Chevalley supergroups / / R. Fioresi, F. Gavarini |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (64 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 215, Number 1014 |
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Disciplina |
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Soggetti |
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Chevalley groups |
Superalgebras |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2012, Volume 215, Number 1014 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Preliminaries""; ""2.1. Superalgebras, superspaces, supergroups""; ""2.2. Lie superalgebras""; ""2.3. Homogeneous one-parameter supersubgroups""; ""Chapter 3. Chevalley bases and Chevalley algebras""; ""3.1. Root systems""; ""3.2. Chevalley bases and algebras""; ""3.3. Existence of Chevalley bases""; ""Chapter 4. Kostant superalgebras""; ""4.1. Kostant's Z �form""; ""4.2. Commutation rules""; ""4.3. Kostant's PBW-like theorem""; ""Chapter 5. Chevalley supergroups""; ""5.1. Admissible lattices"" |
""5.2. Construction of Chevalley supergroups""""5.3. Chevalley supergroups as algebraic supergroups""; ""5.4. Independence of Chevalley and Kostant superalgebras""; ""5.5. Lie's Third Theorem for Chevalley supergroups""; ""Chapter 6. The cases A(1,1) , P(3) and Q(n) ""; ""6.1. Chevalley bases and Chevalley superalgebras""; ""6.2. Kostant superalgebras""; ""6.3. Chevalley supergroups and their properties""; ""Appendix A. Sheafification""; ""Bibliography"" |
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