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arXiv · 1506.03161

Modular adjacency algebras of Dual polar schemes

Osamu Shimabukuro
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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.

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Osamu Shimabukuro. 2015-06-10. Modular adjacency algebras of Dual polar schemes. https://arxiv.org/abs/1506.03161

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