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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 |
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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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Mathematical Surveys and Monographs | 9780821885109 |
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電子リソース |
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EB00103148 |
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