A quadratic inequality for sum of co-adjoint orbits (Q842339)

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scientific article; zbMATH DE number 5606321
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A quadratic inequality for sum of co-adjoint orbits
scientific article; zbMATH DE number 5606321

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    A quadratic inequality for sum of co-adjoint orbits (English)
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    22 September 2009
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    The authors obtain an effective lower bound on the distance of the sum of co-adjoint orbits from the origin. In the particular case of unitary groups, they obtain the quadratic inequality for eigenvalues of Hermitian matrices satisfying \(A+B=C\). This inequality can be interpreted as the Chern number inequality for semi-stable reflexive toric sheaves.
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    co-adjoint orbit
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    lower bound inequality
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    Chern number inequality
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    inequalities involving eigenvalues
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    unitary groups
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    Hermitian matrices
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    semi-stable reflexive toric sheaves
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