English

The exponential map of GL(N)

High Energy Physics - Theory 2008-11-26 v1 Quantum Physics

Abstract

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

Keywords

Cite

@article{arxiv.hep-th/9604049,
  title  = {The exponential map of GL(N)},
  author = {Alexander Laufer},
  journal= {arXiv preprint arXiv:hep-th/9604049},
  year   = {2008}
}

Comments

14 pages, latex, no figures

R2 v1 2026-07-22T15:58:53.823Z