Strade Completion of the Classification

III. Completion of the Classification
1. Auflage 2012
ISBN: 978-3-11-026301-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 57, 249 Seiten

Reihe: De Gruyter Expositions in Mathematics

Zielgruppe

Researchers, Lecturers, Graduates, and Advanced in Algebra; Academic Libraries

Autoren/Hrsg.

Strade, Helmut

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

1;Introduction;9
2;16 Miscellaneous;11
2.1;16.1 Tori in some simple Lie algebras;11
2.2;16.2 Maximal tori in H(2; 1; .(1))[p];15
2.3;16.3 Representations of H(2; 1; .(t))(1);23
2.4;16.3.1 Central Extensions;25
2.5;16.3.2 Representations of dimension = p2;27
2.6;16.3.3 Splitting off the radical;39
2.7;16.4 Some properties of Melikian algebras;46
3;17 Sections;56
3.1;17.1 On trigonalizability;56
3.2;17.2 1-sections in simple Lie algebras of absolute toral rank 2;69
3.3;17.3 On the [p]-nilpotency of elements;81
3.4;17.4 2-sections;91
4;18 Solving the case when T is non-standard;103
4.1;18.1 2-sections revisited;103
4.2;18.2 Melikian pairs;115
4.3;18.3 Conclusion;119
5;19 Solving the case when all T-roots are solvable;129
5.1;19.1 2-sections revisited;129
5.2;19.2 The case when TR(L) = 3;131
5.3;19.3 Solvable sections;150
5.4;19.4 Conclusion;160
6;20 Attacking the general case;175
6.1;20.1 Optimal tori;176
6.2;20.2 Root spaces in 2-sections;186
6.3;20.3 The distinguished subalgebra Q(L,T);193
6.4;20.4 Pushing the classical case;199
6.5;20.5 The filtration defined by Q(L,T);203
6.6;20.6 Determining G(L,T);211
6.7;20.7 Completing the classification;229
6.8;20.8 Epilogue;245
7;Notation;247
8;Bibliography;249

Über Autor(innen)

Helmut Strade, University of Hamburg, Germany.