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 Übersetzung für 'tensor algebra' von Englisch nach Deutsch
math.
tensor algebra
Tensoralgebra {f}
Teiltreffer
math.
canonical anticommutation relations algebra <CAR algebra>
CAR-Algebra {f}
math.
canonical commutation relations algebra <CCR algebra>
CCR-Algebra {f}
math.
approximately finite algebra <AF algebra>
AF-Algebra {f}
math.phys.
four-tensor <4-tensor>
Vierertensor {m}
math.
approximately finite dimensional C*-algebra <AF C*-algebra>
AF-C*-Algebra {f}
anat.math.VetMed.
tensor
Tensor {m}
13
geol.phys.
deformation tensor
Deformationstensor {m}
math.
Riemann tensor
Riemanntensor {m}
math.
tensor product
Tensorprodukt {n}
math.
metric tensor
Metriktensor {m}
phys.
deelectrification tensor
Entelektrisierungs­tensor {m}
phys.
permittivity tensor
Permittivitätstensor {m}
phys.
field tensor
Feldtensor {m}
math.phys.
curvature tensor
Krümmungs­tensor {m}
math.
tensor field
Tensorfeld {n}
materialphys.
stress tensor
Spannungs­tensor {m}
math.
metric tensor
metrischer Tensor {m}
math.
metric tensor
Maßtensor {m}
math.phys.
tensor calculation
Tensorrechnung {f}
math.
antisymmetric tensor
antisymmetrischer Tensor {m}
21 Übersetzungen
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Anwendungsbeispiele Englisch
  • The exterior algebra (as well as the symmetric algebra) inherits a bialgebra structure, and, indeed, a Hopf algebra structure, from the tensor algebra.
  • This is done by taking the tangent space as a vector space, extending it to a tensor algebra, and then using an inner product on the vector space to define a Clifford algebra.
  • Tensors equipped with their product operation form an algebra, called the tensor algebra.
  • For example, the tensor algebra construction on a vector space is the left adjoint to the functor on associative algebras that ignores the algebra structure.
  • In the category of (noncommutative) "R"-algebras, the coproduct is a quotient of the tensor algebra (see free product of associative algebras).

  • The Wightman axioms can be rephrased in terms of a state called a Wightman functional on a Borchers algebra equal to the tensor algebra of a space of test functions.
  • Other examples of bialgebras include the tensor algebra, which can be made into a bialgebra by adding the appropriate comultiplication and counit; these are worked out in detail in that article.
  • There are other general examples, as well: it occurs in the theory of Lie algebras, where the tensor algebra of a Lie algebra forms a Poisson algebra; a detailed construction of how this comes about is given in the universal enveloping algebra article.
  • This statement is an initial property of the tensor algebra since it expresses the fact that the pair [...] , where [...] is the inclusion map, is a universal morphism from the vector space [...] to the functor [...].
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