Hermitians in matrix algebras with operator norm and associated Lie algebras

Duncan, J. and McGregor, C. (2024) Hermitians in matrix algebras with operator norm and associated Lie algebras. Linear Algebra and its Applications, 682, pp. 238-256. (doi: 10.1016/j.laa.2023.11.009)

Abstract

This is a continuation of Crabb et al. (2021) [3] and Duncan and McGregor (2022) [4] in which we began an investigation of the real space H of Hermitian matrices in Mn(C) with respect to norms on Cn. Here, we introduce a family of Lie algebras derived from the classical real Lie algebras, with the aim of determining whether or not they are Lie isomorphic to ideals of some H.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: McGregor, Dr Colin
• Authors: Duncan, J., and McGregor, C.
• College/School: College of Science and Engineering > School of Mathematics and Statistics
• Journal Name: Linear Algebra and its Applications
• Publisher: Elsevier
• ISSN: 0024-3795
• ISSN (Online): 1873-1856
• Published Online: 24 November 2023
• Copyright Holders: Copyright: © 2023 The Author(s)
• First Published: First published in Linear Algebra and its Applications 682: 238-256
• Publisher Policy: Reproduced under a Creative Commons licence