irreducible tensor

irreducible tensor

[‚ir·ə′dü·sə·bəl ′ten·sər]
(mathematics)
A tensor that cannot be written as the inner product of two tensors of lower degree.
References in periodicals archive ?
Clebsch-Gordan coefficients and irreducible tensor operators, Sov.
KHARITONOV, Tree technique and irreducible tensor operators for the S[U.
First, a series expansion of the ODF into spherical harmonics will be performed (Section 2); second, after a short introduction to symmetric irreducible tensors (Section 3), the correspondence of symmetric irreducible tensors with spherical harmonics will be shown (Section 4).
The use of symmetric irreducible tensors to represent a spherical function dates back to at least Ludwig Waldmann [1] in the theory of molecular gases.