Hodge star operator
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element. This map was introduced by W. V. D. Hodge.
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't Hooft operator(2+1)-dimensional topological gravityAdjugate matrixAngular velocityAsteriskAtiyah–Singer index theoremBivectorBogomolny equationsCauchy–Riemann equationsChiral anomalyClassical electromagnetism and special relativityCodifferentialComparison of vector algebra and geometric algebraCoriolis fieldCotton tensorCovariant formulation of classical electromagnetismCross productCurl (mathematics)Curtright fieldCurvature invariant (general relativity)De Rham cohomologyDifferential formDifferential forms on a Riemann surfaceDiscrete calculusDiscrete exterior calculusDivergenceDual gravitonDual of a tensorDual photonDual tensorDuality (mathematics)Electromagnetic tensorElectrovacuum solutionExterior calculus identitiesExterior derivativeFubini–Study metricG2 manifoldGauge theoryGauge theory (mathematics)Geometric algebra
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Hodge star operator
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element. This map was introduced by W. V. D. Hodge.
has abstract
Der Hodge-Stern-Operator oder ...... m Raum der Differentialformen.
@de
En algèbre linéaire, l'opérate ...... mment dans la définition des .
@fr
En matemáticas, el operador es ...... nde n = dim V, para 0 ≤ k ≤ n.
@es
In mathematics, the Hodge star ...... a closed Riemannian manifold.
@en
Звезда́ Хо́джа — важный линейн ...... ор был введён Вильямом Ходжем.
@ru
Зірка Годжа — важливий лінійни ...... був введений Вільямом Годжем.
@uk
数学において、ホッジスター作用素(ホッジスターさようそ、Ho ...... なリーマン多様体上の微分形式のホッジ分解を導くことができる。
@ja
数学中，霍奇星算子（Hodge star operator） ...... 的一个重要的线性映射。它定义在有限维定向内积空间的外代数上。
@zh
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comment
Der Hodge-Stern-Operator oder ...... m Raum der Differentialformen.
@de
En algèbre linéaire, l'opérate ...... urs, appelée dualité de Hodge.
@fr
En matemáticas, el operador es ...... nde n = dim V, para 0 ≤ k ≤ n.
@es
In mathematics, the Hodge star ...... introduced by W. V. D. Hodge.
@en
Звезда́ Хо́джа — важный линейн ...... ор был введён Вильямом Ходжем.
@ru
Зірка Годжа — важливий лінійни ...... був введений Вільямом Годжем.
@uk
数学において、ホッジスター作用素(ホッジスターさようそ、Ho ...... なリーマン多様体上の微分形式のホッジ分解を導くことができる。
@ja
数学中，霍奇星算子（Hodge star operator） ...... 的一个重要的线性映射。它定义在有限维定向内积空间的外代数上。
@zh
label
Dual de Hodge
@es
Dualité de Hodge
@fr
Hodge star operator
@en
Hodge-Stern-Operator
@de
Звезда Ходжа
@ru
Зірка Годжа
@uk
ホッジ双対
@ja
霍奇对偶
@zh
호지 쌍대
@ko