<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix related to some Lie Algebras. The determinant of an extension of that matrix is presented.</p></abstract>

Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix related to some Lie Algebras. The determinant of an extension of that matrix is presented.

An observation on the determinant of a Sylvester-Kac type matrix

TOBB University of Economics and Technology

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"An observation on the determinant of a Sylvester-Kac type matrix"}

Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix related to some Lie Algebras. The...

An observation on the determinant of a Sylvester-Kac type matrix

Published Online: Apr 09, 2020

Page range: 111 - 115

Received: Mar 25, 2019

Accepted: Apr 25, 2019

DOI: https://doi.org/10.2478/auom-2020-0008

Keywords
Sylvester-Kac matrix, Clement matrix, determinant, eigenvalues, Lie algebras

© 2020 Carlos M. da Fonseca et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

An observation on the determinant of a Sylvester-Kac type matrix

Published Online: Apr 09, 2020

Page range: 111 - 115

Received: Mar 25, 2019

Accepted: Apr 25, 2019

DOI: https://doi.org/10.2478/auom-2020-0008

KeywordsSylvester-Kac matrix, Clement matrix, determinant, eigenvalues, Lie algebras

© 2020 Carlos M. da Fonseca et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Sylvester-Kac matrix, Clement matrix, determinant, eigenvalues, Lie algebras