In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise group...

v\otimes w} is called the tensor product of v and w. An element of V ⊗ W {\displaystyle V\otimes W} is a tensor, and the tensor product of two vectors is sometimes...

ring) Tensor product of representations, a special case in representation theory Tensor product of fields, an operation on fields—unlike most tensor products...

In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra. This gives the tensor product of algebras. When the...

representation of dimension 5 corresponding to the exceptional transitive embedding of A5 in A6. The tensor product of two representations of S n {\displaystyle...

the tensor product and ρ 2 ( x ) {\displaystyle \rho _{2}(x)} acts on the second factor in the tensor product. In the context of representations of the...

isomorphism) exactly the tensor product of the irreducible representations of the factor groups. First, we note that the direct product G 1 × G 2 {\displaystyle...

_{2}(X)} . This product can be recognized as the coproduct on a coalgebra. In general, the tensor product of irreducible representations is not irreducible;...

the set of equivalence classes of irreducible unitary representations of G. The analogue of the product of characters is the tensor product of representations...

leads to the concept of a tensor field. In some areas, tensor fields are so ubiquitous that they are often simply called "tensors". Tullio Levi-Civita...