A bilinear form relating two Leonard systems
Rings and Algebras
2010-05-21 v2
Abstract
Let , be Leonard systems over a field , and , the vector spaces underlying , , respectively. In this paper, we introduce and discuss a balanced bilinear form on . Such a form naturally arises in the study of -polynomial distance-regular graphs. We characterize a balanced bilinear form from several points of view.
Cite
@article{arxiv.0807.0385,
title = {A bilinear form relating two Leonard systems},
author = {Hajime Tanaka},
journal= {arXiv preprint arXiv:0807.0385},
year = {2010}
}
Comments
15 pages