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searching for Mixed tensor 3 found (96 total)

Pullback (differential geometry) (2,251 words) [view diff] exact match in snippet view article

fields as well as for 1-forms, and thus, by extension, for an arbitrary mixed tensor field on the manifold. The linear map Φ = d ϕ x ∈ GL ⁡ ( T x M , T ϕ

Representations of classical Lie groups (3,748 words) [view diff] exact match in snippet view article find links to article

representations of G L ( n , C ) {\displaystyle GL(n,\mathbb {C} )} are mixed tensor representations, i.e. subrepresentations of V ⊗ r ⊗ ( V ∗ ) ⊗ s {\displaystyle

Pseudovector (4,332 words) [view diff] exact match in snippet view article find links to article

yield the dyadic product, which is a matrix representing a rank two mixed tensor, with one contravariant and one covariant index. As such, the noncommutativity