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- W2889119331 abstract "In this paper we study the characteristic polynomial of multiparameter pencil z1A1+z2A2+⋯+zsAs. The main theorem states that a unitary representation of a finitely generated group contains a one-dimensional representation if and only if the characteristic polynomial of its generators contains a linear factor. It follows that a two or three dimensional unitary representation of a finitely generated group is irreducible if and only if the characteristic polynomial of the pencil of its generators is irreducible. The result is of kin to the Dedekind and Frobenius theorem on finite group determinant." @default.
- W2889119331 created "2018-09-07" @default.
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- W2889119331 date "2018-12-01" @default.
- W2889119331 modified "2023-10-16" @default.
- W2889119331 title "On the characteristic polynomials of multiparameter pencils" @default.
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- W2889119331 doi "https://doi.org/10.1016/j.laa.2018.08.036" @default.
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