exterior power
31Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …
32Hodge dual — In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite dimensional oriented inner product space. Contents 1 Dimensions and… …
33Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …
34Glossary of tensor theory — This is a glossary of tensor theory. For expositions of tensor theory from different points of view, see:* Tensor * Classical treatment of tensors * Tensor (intrinsic definition) * Intermediate treatment of tensors * Application of tensor theory… …
35Vector-valued differential form — In mathematics, a vector valued differential form on a manifold M is a differential form on M with values in a vector space V . More generally, it is a differential form with values in some vector bundle E over M . Ordinary differential forms can …
36Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing …
37Kodaira vanishing theorem — In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The… …
38Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… …
39Multivector — p vector redirects here. For other uses, see K vector (disambiguation). In multilinear algebra, a multivector or clif is an element of the (graded) exterior algebra on a vector space, Λ * V. This algebra consists of linear combinations of simple… …
40Kähler differential — In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. Contents 1 Presentation 2 Construction 3 Use in algebraic geometry …
