Schur-Like Forms for Matrix Lie Groups, Lie Algebras and Jordan Algebras

Description

We describe canonical forms for elements of a classical Lie group of matrices under similarity transformations in the group. Matrices in the associated Lie algebra and Jordan algebra of matrices inherit related forms under these similarity transformations. In general, one cannot achieve diagonal or Schur form, but the form that can be achieved displays the eigenvalues of the matrix. We also discuss matrices in intersections of these classes and their Schur-like forms. Such multistructered matrices arise in applications from quantum physics and quantum chemistry.

Links & Downloads

1. urn:nbn:de:swb:ch1-200501032
2. 1619-7186
3. https://monarch.qucosa.de/id/qucosa%3A18353
4. https://monarch.qucosa.de/api/qucosa%3A18353/attachment/ATT-0/
5. https://monarch.qucosa.de/api/qucosa%3A18353/attachment/ATT-1/
6. https://monarch.qucosa.de/api/qucosa%3A18353/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Jordan-Algebra; Lie-Algebra; Lie-Gruppe

Schur form

associated Lie algebra

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18353
Date	09 September 2005
Creators	Ammar, Gregory, Mehl, Christian, Mehrmann, Volker
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Source	Preprintreihe des Chemnitzer SFB 393
Rights	info:eu-repo/semantics/openAccess