In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise group...
16 KB (2,941 words) - 00:32, 28 June 2024
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...
50 KB (8,651 words) - 08:11, 20 June 2024
ring) Tensor product of representations, a special case in representation theory Tensor product of fields, an operation on fields—unlike most tensor products...
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representation of dimension 5 corresponding to the exceptional transitive embedding of A5 in A6. The tensor product of two representations of S n {\displaystyle...
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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...
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Lie algebra representation (redirect from Classification of finite-dimensional representations of semi-simple Lie algebras)
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...
28 KB (4,308 words) - 17:20, 8 November 2023
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...
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Representation theory (redirect from Linear representations)
_{2}(X)} . This product can be recognized as the coproduct on a coalgebra. In general, the tensor product of irreducible representations is not irreducible;...
55 KB (7,184 words) - 17:41, 8 July 2024
Associative algebra (redirect from Bidimension of an associative algebra)
of R-algebras. Tensor products The tensor product of two R-algebras is also an R-algebra in a natural way. See tensor product of algebras for more details...
31 KB (4,449 words) - 14:58, 18 May 2024
Automorphic form (redirect from Automorphic representations)
representation that is an infinite tensor product of representations of p-adic groups, with specific enveloping algebra representations for the infinite prime(s)...
13 KB (1,651 words) - 21:57, 9 March 2024