Modular adjacency algebras of Dual polar schemes
Combinatorics
2015-06-11 v1
Abstract
We can define the adjacency algebra of an association scheme over arbitrary field. It is not always semisimple over a field of positive characteristic. The structures of adjacency algebras over a field of positive characteristic have not been sufficiently studied. In this paper, we consider the structures of adjacency algebras of dual polar schemes over a field of positive characteristic and determine them when their algebras are local algebras.
Keywords
Cite
@article{arxiv.1506.03161,
title = {Modular adjacency algebras of Dual polar schemes},
author = {Osamu Shimabukuro},
journal= {arXiv preprint arXiv:1506.03161},
year = {2015}
}