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The Exterior Product and Exterior Algebras
2012The chapter begins with notion of the Plucker coordinates of a subspace in a vector space. Then the Plucker relations are derived, and the Grassmann varieties are described. Then an exterior product of vectors is defined, and the connection between the exterior product and Plucker coordinates is explained: the Plucker relations give necessary and ...
Igor R. Shafarevich, Alexey O. Remizov
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1967
A skew-symmetric map of type (p, q) from E*, E into a vector space H is a (p + q)-linear mapping $$\psi :\underbrace {E* \times \ldots \times E*}_p \times \underbrace {E \times \ldots \times E}_q \to H$$ which satisfies $$\psi (x_{\sigma (1)}^*, \ldots ,x_{\sigma (p)}^*;{x_{\tau (q)}}) = {\varepsilon _\sigma }{\varepsilon _\tau }\psi (x_1^*,
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A skew-symmetric map of type (p, q) from E*, E into a vector space H is a (p + q)-linear mapping $$\psi :\underbrace {E* \times \ldots \times E*}_p \times \underbrace {E \times \ldots \times E}_q \to H$$ which satisfies $$\psi (x_{\sigma (1)}^*, \ldots ,x_{\sigma (p)}^*;{x_{\tau (q)}}) = {\varepsilon _\sigma }{\varepsilon _\tau }\psi (x_1^*,
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Subdivision exterior calculus for geometry processing
ACM Transactions on Graphics, 2016F. D. Goes +3 more
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Occurrence, Distribution, and Accumulation of Pesticides in Exterior Residential Areas.
Environmental Science and Technology, 2016Weiying Jiang +5 more
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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971
A. J. Burton, G. F. Miller
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A. J. Burton, G. F. Miller
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