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Chevalley Supergroups.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2012Copyright date: ©2011Edition: 1st edDescription: 1 online resource (77 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821885215
Subject(s): Genre/Form: Additional physical formats: Print version:: Chevalley SupergroupsDDC classification:
  • 515/.55
LOC classification:
  • QA179 -- .F567 2011eb
Online resources:
Contents:
Intro -- 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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Intro -- 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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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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