Normal forms of matrices over the ring of formal series

2010/09/13 by Belitskii, Genrich, Kerner, Dmitry
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1009.2440

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.

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