Totally isotropic subspaces, complementary subspaces, and generalized inverses
โ Scribed by M.Q. Rieck
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 671 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
In this paper the authors detemine the intersection numbers of the orbital association schemes B 3,2 (q) by characterizing the orbitals in terms of incidence chains of specified type. It is subsequently shown that the schemes B 3,2 (q) have no nontrivial fusion schemes.
This paper provides some new families of symmetric association schemes based on maximal totally isotropic subspaces in (singular) pseudo-symplectic spaces. All intersection numbers of these schemes are computed.
Let L/k be a finite field extension and let (V, B) be a finite dimensional symplectic space over L. We examine the action of the symplectic group SPL(V) on the set of B'-isotropic ksubspaces of V, where B' = ~p o B is the k-symplectic form induced by a 'trace' map tp: L --, k. The orbits are complet