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- W2901473934 abstract "For an s -tuple A = ( A 1 , … , A s ) of square matrices of the same size, the (joint) determinant of A and the characteristic polynomial of A are defined by det ( A ) ( z ) = det ( z 1 A 1 + z 2 A 2 + ⋯ + z s A s ) and p A ( z ) = det ( z 0 I + z 1 A 1 + z 2 A 2 + ⋯ + z s A s ) , respectively. This paper calculates determinant of the finite dimensional irreducible representations of sl ( 2 , F ) , which is either zero or a product of some irreducible quadratic polynomials. Moreover, it shows that a finite dimensional Lie algebra is solvable if and only if the characteristic polynomial is completely reducible." @default.
- W2901473934 created "2018-11-29" @default.
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- W2901473934 date "2019-02-01" @default.
- W2901473934 modified "2023-10-12" @default.
- W2901473934 title "Determinants and characteristic polynomials of Lie algebras" @default.
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- W2901473934 doi "https://doi.org/10.1016/j.laa.2018.11.015" @default.
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