The Group of Autoprojectivities of the Finite Irreducible Coxeter Groups
✍ Scribed by Mauro Costantini
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 179 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper contains an irredundant listing of the finite irreducible monomial Ž . subgroups of GL 4, ރ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.
Let V be a finite dimensional vector space over a field K of characteristic / 2, and b: V = V ª K a non-degenerate symmetric bilinear form. Ž . Let : G ª O b be an orthogonal representation of the finite group G. Unless mentioned otherwise, we assume throughout that is absolutely irreducible as a l
That is, for a cocommuta-Ž . Ž . Ž . tive irreducible coalgebra C, the homomorphism y \*: Br C ª Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ž . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ž . Some cases wher
Let W, S be any finite Coxeter system and F the Bruhat᎐Chevalley Ž . Ž . order on W. We denote by Base W and BiGr W the base and the set of all bi-grassmannians, respectively. For s, t g S we let s W t be the subset of Ž . Ž . Ä 4 Ž . Ä 4 BiGr W consisting of all w g W such that L L w s s and R R w