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    Irreducible Tensor

    Definition

    Given a general second tensor rank tensor A_(i j) and a metric g_(i j), define θ | congruent | A_(i j) g^(i j) = A_i^i ω^i | congruent | ϵ^(i j k) A_(j k) σ_(i j) | congruent | 1/2(A_(i j) + A_(j i)) - 1/3 g_(i j) A_k^k, where δ_(i j) is the Kronecker delta and ϵ^(i j k) is the permutation symbol.

    Related term

    tensor

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