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arxiv: 1009.2440 · v2 · pith:IX7YEBLQnew · submitted 2010-09-13 · 🧮 math.RT

Normal forms of matrices over the ring of formal series

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keywords formalformsmatricesnormalringseriesactionconsidered
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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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