On a canonical form of a \(3\times 3\) Hermitian matrix over the ring of integral split octonions
type: Item
instance of: scholarly article
title: On a canonical form of a \(3\times 3\) Hermitian matrix over the ring of integral split octonions
zbMATH Open document ID: 1034.15008
DOI: 10.1016/S0021-8693(02)00127-8
author: Sergei Krutelevich
published in: Journal of Algebra
publication date: 2002-11-28T00:00:00Z
review text: The author shows that a \(3\times 3\) Hermitian matrix over the ring of integral split octonions has a unique canonical diagonal form under the action of the group \(E_{6,6}(\mathbb Z)\). This confirms the conjecture of \textit{J. Maldacena}, \textit{G. Moore}, and \textit{A. Strominger} [Counting BPS black-holes in toroidal Type II string theory, hep-th/9903163] on a standard form of a charge vector.
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 17C60
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1836728
zbMATH Keywords: Hermitian matrix
zbMATH Keywords: ring of integral split octonions
zbMATH Keywords: canonical diagonal form
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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full work available at URL: s0021-8693(02)00127-8
OpenAlex ID: W2077147513
description: scientific article; zbMATH DE number 1836728