Noetherian Equations for Matrices |
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Authors: | Gerhard Pazderski |
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Institution: | (1) FR Mathematik, Universität Rostok, Universitäts platz 1, D-18051 Rostok, Germany |
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Abstract: | Let L|K be a finite Galois extension. Using central simple algebras we deal with the crossed representations of G = Gal(L|K) over L which are defined as mappings X of G into GLn(L) satisfying X![sgr](/content/k287760380uh7410/xxlarge963.gif) = X
X . The last equation is the Noetherian equation in case n=1. Furtheron, more general crossed projective representations are considered which obey an equation X
X = X![sgr](/content/k287760380uh7410/xxlarge963.gif) f , where f , L. |
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Keywords: | matrix equations Noetherian equation |
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