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Unipotent and nilpotent classes in simple algebraic groups and Lie algebras / Martin W. Liebeck, Gary M. Seitz
(Mathematical surveys and monographs ; no. 180)

Publisher Providence, R.I : American Mathematical Society
Year c2012
Size 1 online resource (xii, 380 p. : ill.)
Authors *Liebeck, M. W 1954-
Seitz, Gary M. 1943-
Subjects LCSH:Linear algebraic groups
LCSH:Lie algebras
Contents 1. Introduction
2. Preliminaries
3. Classical groups in good characteristic
4. Classical groups in bad characteristic: Statement of results
5. Nilpotent elements: The symplectic and orthogonal cases, $p=2$
6. Unipotent elements in symplectic and orthogonal groups, $p=2$
7. Finite classical groups
8. Tables of examples in low dimensions
9. Exceptional groups: Statement of results for nilpotent elements
10. Parabolic subgroups and labellings
11. Reductive subgroups
12. Annihilator spaces of nilpotent elements
13. Standard distinguished nilpotent elements
14. Exceptional distinguished nilpotent elements
15. Nilpotent classes and centralizers in $E_8$
16. Nilpotent elements in the other exceptional types
17. Exceptional groups: Statement of results for unipotent elements
18. Corresponding unipotent and nilpotent elements
19. Distinguished unipotent elements
20. Non-distinguished unipotent classes
21. Proofs of theorems 1, 2 and corollaries 3-8
22. Tables of nilpotent and unipotent classes in the exceptional groups
Notes Includes bibliographical references (p. 373-375) and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2012
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/surv/180 Information=Contents
HTTP:URL=https://doi.org/10.1090/surv/180 Information=Contents
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Mathematical Surveys and Monographs 9780821885109
電子リソース
EB00103148

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Material Type E-Book
Classification LCC:QA179
DC23:512/.482
ID 4000113108
ISBN 9780821885109

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