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Polynomial Table Algebras and Their Covering Numbers

✍ Scribed by B.T. Xu

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 723 KB
Volume: 176
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1256

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✦ Synopsis

In this article we introduce the notion of polynomial table algebras, and discuss their covering numbers. In particular, we prove that the real table algebras ((A, \mathbf{B})) with (c n(\mathbf{B})=2|\mathbf{B}|-2) are polynomial table algebras such that, by a suitable reordering of (x_{i} \in \mathbf{B}) if necessary, the first intersection matrices are tridiagonal as follows,

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