Cyclotomic matrices over the Eisenstein and Gaussian integers

Gary Greaves

doi:10.1016/j.jalgebra.2012.09.006

Cyclotomic matrices over the Eisenstein and Gaussian integers

Gary Greaves

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We classify all cyclotomic matrices over the Eisenstein and Gaussian integers, that is, all Hermitian matrices over the Eisenstein and Gaussian integers that have all their eigenvalues in the interval [−2,2].

Original language	English
Pages (from-to)	560-583
Number of pages	24
Journal	Journal of Algebra
Volume	372
DOIs	https://doi.org/10.1016/j.jalgebra.2012.09.006
Publication status	Published - 2012 Dec 15
Externally published	Yes

Keywords

Cyclotomic matrices
Eisenstein integers
Gaussian integers

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2012.09.006

Cite this

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title = "Cyclotomic matrices over the Eisenstein and Gaussian integers",

abstract = "We classify all cyclotomic matrices over the Eisenstein and Gaussian integers, that is, all Hermitian matrices over the Eisenstein and Gaussian integers that have all their eigenvalues in the interval [−2,2].",

keywords = "Cyclotomic matrices, Eisenstein integers, Gaussian integers",

author = "Gary Greaves",

note = "Publisher Copyright: {\textcopyright} 2012",

year = "2012",

month = dec,

day = "15",

doi = "10.1016/j.jalgebra.2012.09.006",

language = "English",

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KW - Gaussian integers

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JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Cyclotomic matrices over the Eisenstein and Gaussian integers

Abstract

Keywords

ASJC Scopus subject areas

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