English

Normal forms of matrices over the ring of formal series

Representation Theory 2010-11-04 v2

Abstract

Matrices over the ring of formal power series are considered. Normal forms with respect to various sub-groups of the two-sided transformations are constructed. The construction is based on the special property of the action: it induces a filtration by projectors on sub-spaces of polynomial maps.

Keywords

Cite

@article{arxiv.1009.2440,
  title  = {Normal forms of matrices over the ring of formal series},
  author = {Genrich Belitskii and Dmitry Kerner},
  journal= {arXiv preprint arXiv:1009.2440},
  year   = {2010}
}

Comments

20 pages, the appendix added. the submitted version