Further generalization of symmetric multiplicity theory to the geometric case over a field

Cinzori, Isaac; Johnson, Charles R.; Lang, Hannah; Saiago, Carlos M.

http://hdl.handle.net/10362/125419

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Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric matrices over a field. A characterization of generalized stars in the case of combinatorially symmetric matrices is given.

Descrição

0751964

Palavras-chave

Combinatorially symmetric matrix Eigenvalue Generalized star Geometric multiplicity Graph of a matrix Path Algebra and Number Theory Geometry and Topology