The exponential map of GL(N)

1996/04/09 by Alexander Laufer, A Laufer · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Chemistry #Combinatorics #Eigenvalues and eigenvectors #Exponential function #Finite Group Theory Research #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix exponential #Physics #Pure mathematics #hep-th #quant-ph

paper · pdf · doi:10.1088/0305-4470/30/15/029

published as J.Phys.A30:5455-5470,1997 · 14 pages, latex, no figures

arxiv created 1996/04/09 · openalex publication_date 1997/08/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A finite expansion of the exponential map for a matrix is presented. The method uses the Cayley - Hamilton theorem for writing the higher matrix powers in terms of those for the first N - 1. The resulting sums over the corresponding coefficients are rational functions of the eigenvalues of the matrix.

Citations

• A THOUGHTFUL STUDY OF LORENTZ TRANSFORMATIONS BY CLIFFORD ALGEBRAS
• The exponential map for the conformal group O(2,4)
• The exponential map for the unitary group SU(2,2)

Cited by

• Cayley–Hamilton theorem [wikipedia]