TY  - BOOK
AU  - Fioresi,R.
AU  - Gavarini,F.
TI  - Chevalley Supergroups
T2  - Memoirs of the American Mathematical Society
SN  - 9780821885215
AV  - QA179 -- .F567 2011eb 
U1  - 515/.55 
PY  - 2012///
CY  - Providence
PB  - American Mathematical Society
KW  - Chevalley groups
KW  - Superalgebras
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114578
ER  -