Determinant formulae of matrices with certain symmetry and its applications

Yongju Bae; In Sook Lee

doi:10.3390/sym9120303

Determinant formulae of matrices with certain symmetry and its applications

Yongju Bae
, In Sook Lee

Kyungpook National University

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

2 Scopus citations

Abstract

In this paper, we introduce formulae for the determinants of matrices with certain symmetry. As applications, we will study the Alexander polynomial and the determinant of a periodic link which is presented as the closure of an oriented 4-tangle.

Original language	English
Article number	303
Journal	Symmetry
Volume	9
Issue number	12
DOIs	https://doi.org/10.3390/sym9120303
State	Published - 1 Dec 2017

Keywords

Alexander polynomial of a link
Determinant of a matrix
Periodic links
Seifert matrix of a link

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10.3390/sym9120303

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title = "Determinant formulae of matrices with certain symmetry and its applications",

abstract = "In this paper, we introduce formulae for the determinants of matrices with certain symmetry. As applications, we will study the Alexander polynomial and the determinant of a periodic link which is presented as the closure of an oriented 4-tangle.",

keywords = "Alexander polynomial of a link, Determinant of a matrix, Periodic links, Seifert matrix of a link",

author = "Yongju Bae and Lee, \{In Sook\}",

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language = "English",

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AU - Lee, In Sook

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N2 - In this paper, we introduce formulae for the determinants of matrices with certain symmetry. As applications, we will study the Alexander polynomial and the determinant of a periodic link which is presented as the closure of an oriented 4-tangle.

AB - In this paper, we introduce formulae for the determinants of matrices with certain symmetry. As applications, we will study the Alexander polynomial and the determinant of a periodic link which is presented as the closure of an oriented 4-tangle.

KW - Alexander polynomial of a link

KW - Determinant of a matrix

KW - Periodic links

KW - Seifert matrix of a link

UR - https://www.scopus.com/pages/publications/85040077985

U2 - 10.3390/sym9120303

DO - 10.3390/sym9120303

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SN - 2073-8994

VL - 9

JO - Symmetry

JF - Symmetry

IS - 12

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ER -

Determinant formulae of matrices with certain symmetry and its applications

Abstract

Keywords

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