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Groups of Lie type and their geometries : Como, 1993 /
Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading figures, as well as younger researchers in this area, and this book brings together many of their excellent contributions. Themes represented here include: subgro...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1995.
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| Colección: | London Mathematical Society lecture note series ;
207. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; List of talks; List of participants; Representations of groups on finite simplicial complexes; References; Coxeter groups and matroids; Introduction; 1 Matroids; 2 Grassmann Varieties; 3 Coxeter groups and W P-matroids; 3.1 Coxeter groups and Bruhat ordering; 3.2 Matroids as a partial case of W P-matroids; 4 Tits Systems and Thin Schubert Cells; 5 Coxeter Complexes; 5.1 Galleries and walls; 5.2 The Bruhat Ordering; 5.3 Bruhat Ordering on W/P; 6 W-matroids; Acknowledgements; References
- Finite groups and geometries: A view on the present state and on the future1 Introduction; 1.1 The model: groups of Lie-Che valley type and buildings; 1.2 Rules of experimentation; 1.3 Some good candidates; 2 Conditions at time to = 1991; 2.1 The groups; 2.2 The geometries; 2.3 Experimentation; 2.4 The Tits algorithms; 2.5 The wilderness; 2.6 Maximal subgroups only; 2.7 Restrictions that fail; 3 Conditions at time t1=1992; 4 More subgroups; 5 The near future; References; Groups acting simply transitively on the vertices of a building of type An; 1. Introduction.
- Modular representations of other groups.6. Description of hard embeddings; 7. Existence by computer; 8. Conclusion; References; Flag-transitive extensions of buildings of type G2 and C*3; 1. Introduction; 2. Preliminaries; 3. Extensions of near hexagons; References; Disconnected linear groups and restrictions of representations; 1. Introduction; 2. When W is an irreducible x-module; 3. When x acts reducibly on W; 4. Representations of the symmetric groups; References; Products of conjugacy classes in algebraic groups and generators of dense subgroups; 1. Multiclasses of algebraic groups