Euclidean Jordan Algebras, MacLaurin Series and Inequalities on Strongly Regular Graphs

• Type: Article in International Conference Proceedings Book
• Date: 2013

Authors

Luís Almeida Vieira (Author) FEUP; Mano, VM (Author) Other

Conference proceedings International

Title: AIP Conference Proceedings

Pages: 1554-1557

11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)

GREECE, SEP 21-27, 2013

Indexing

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Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-008-GQQ

DOI: 10.1063/1.4825821

Abstract (EN): Let X be a strongly regular graph, whose adjacency matrix A has three distinct eigenvalues, and let V be the Euclidean Jordan algebra of real symmetric matrices, with the vector product and the inner product being the Jordan product and the usual trace of matrices, respectively. We consider the Euclidean Jordan subalgebra A of V spanned by the identity matrix and the natural powers of A. In this paper we work with the MacLaurin series of the sin function of some idempotents of A to obtain some inequalities over the parameters of X.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4