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Jordan and Lie homomorphism and derivation on prime ringLuo, Rebecca 21 August 2002 (has links)
We will discuss some properties of Jordan and Lie homomorphisms and derivations on prime rings. We first give some definitions and then we show some classic results .
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The geometry of Jordan and Lie structures /Bertram, Wolfgang. January 2000 (has links)
Techn. Univ., Habil.-Schr.--Clausthal, 2000. / Literaturverz. S. [256] - 262.
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Schur-Like Forms for Matrix Lie Groups, Lie Algebras and Jordan AlgebrasAmmar, Gregory, Mehl, Christian, Mehrmann, Volker 09 September 2005 (has links)
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.
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