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More on the Terwilliger algebra of Johnson schemes

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


The Terwilliger algebras of Johnson grap
โœ Gao, Suogang; Zhang, Liwei; Hou, Bo ๐Ÿ“‚ Article ๐Ÿ“… 2014 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 386 KB
Terwilliger Algebras of Cyclotomic Schem
โœ Haruo Ishibashi; Tatsuro Ito; Mieko Yamada ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

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

The Terwilliger Algebra of the Hypercube
โœ Junie T Go ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

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