Normal forms of matrices over the ring of formal series

Details Normal forms of matrices over the ring of formal series Normal forms of matrices over the ring of formal series

2010-09-13

arxiv.org/abs/1009.2440v2

Mathematics

Representation Theory

20 pages, the appendix added. the submitted version

Scientific paper

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.

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