Tensor category information

Tensor category (within the subfield category theory of mathematics) may refer to: General monoidal categories; or More specifically symmetric monoidal...

(electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, ...), general relativity (stress–energy tensor, curvature tensor, ...), and...

In mathematics, a monoidal category (or tensor category) is a category C {\displaystyle \mathbf {C} } equipped with a bifunctor ⊗ : C × C → C {\displaystyle...

two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span V ⊗ W {\displaystyle V\otimes W} in the sense...

{\displaystyle N} -fold tensor product factors through the symmetric group. A braided monoidal category is a ribbon category if it is rigid, and it may...

the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product...

In category theory, a branch of mathematics, a symmetric monoidal category is a monoidal category (i.e. a category in which a "tensor product" ⊗ {\displaystyle...

analysis, the tensor product of Hilbert spaces is a way to extend the tensor product construction so that the result of taking a tensor product of two...

classes/categories Category of being Categories (Aristotle) Category (Kant) Categories (Peirce) Category (Vaisheshika) Stoic categories Category mistake...

In grammar, tense is a category that expresses time reference. Tenses are usually manifested by the use of specific forms of verbs, particularly in their...

differential geometry, a tensor density or relative tensor is a generalization of the tensor field concept. A tensor density transforms as a tensor field when passing...

mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the...

universal property of the tensor product of vector spaces extends to more general situations in abstract algebra. The tensor product of an algebra and...

concepts.) tensor triangulated category A tensor triangulated category is a category that carries the structure of a symmetric monoidal category and that...

differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature...

first-generation Tensor chip debuted on the Pixel 6 smartphone series in 2021, and were succeeded by the Tensor G2 chip in 2022 and G3 in 2023. Tensor has been...

essentially the composition of functions. In the language of tensor algebra, a particular tensor is associated with a particular shape with many lines projecting...

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...

of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor theory...

The tensor fasciae latae (or tensor fasciæ latæ or, formerly, tensor vaginae femoris) is a muscle of the thigh. Together with the gluteus maximus, it acts...

non-cartesian example is the category of vector spaces, K-Vect, over a field K {\displaystyle K} . Here the monoidal product is the usual tensor product of vector...

chromatic number of a tensor product, was disproved by Yaroslav Shitov (2019). The tensor product of graphs equips the category of graphs and graph homomorphisms...

single object—is a preadditive category). The category of rings is a symmetric monoidal category with the tensor product of rings ⊗Z as the monoidal product...