The kernels of irreducible representations of the general linear group |
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Authors: | D B Hunter |
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Institution: |
a School of Mathematical Sciences, University of Bradford, West Yorkshire, England |
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Abstract: | A derivation for the kernel of the irreducible representation T(λ) of the general linear group GLn(C) is given. This is then applied to the problem of determining necessary and sufficient conditions under which T(λ)(A) = T(λ)(B), where A and B are linear transformations, not necessarily invertible. Finally, conditions are obtained under which normality of T(λ)(A) implies normality of A. |
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