More on the Terwilliger algebra of Johnson schemes
โ Scribed by Lv, Benjian; Maldonado, Carolina; Wang, Kaishun
- Book ID
- 122251872
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 424 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that the T -module structure of a cyclotomic scheme is described in term of Jacobi sums. It holds that an irreducible T -module of a cyclotomic scheme fails to have maximal dimension if and only if Jacobi sums satisfy certain kind of equations, which are of some number theoretical interest i
Using the above equations, we find the irreducible T -modules. For each irreducible T -module W , we display two orthogonal bases, which we call the standard basis and the dual standard basis. We describe the action of A and A \* on each of these bases. We give the transition matrix from the standar