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Everything about Multilinear form
Map from multiple vectors to an underlying field of scalars, linear in each argument
In abstract algebra and multilinear algebra, a multilinear form on a vector space over a field is a map Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multilinear formA 5-minute orientation
- Skim a recent paper: Multilinear Karhunen-Loève TransformsInfluential work since 2022
- Pick up a classic book: Introduction to quadratic formsThe most-reprinted book on the subject
- Read the landmark paper: The Shapley function for fuzzy cooperative games with multilinear extension formCited 31 times
- Go sideways: Derived schemeA closely related topic
- Go sideways: Lie derivativeA closely related topic
📖 Definitions
Noun Given a vector space V over a field K of scalars, a mapping V → K that is linear in each of its arguments; a similarly multiply linear mapping M → R defined for a given module M over some commutative ring R.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The Shapley function for fuzzy cooperative games with multilinear extension form
Random Multilinear Forms
Fuzzy Bi-cooperative games in multilinear extension form
The Quantum Group of a Preregular Multilinear Form
Summability of the coefficients of a multilinear form
Estimates for a multilinear form on the sphere
Multivariate limits of multilinear polynomial-form processes with long memory
Congruence of multilinear forms
🆕 Influential since 2022
📚 Books worth reading
Introduction to quadratic formsO. T. O'Meara · 1963
The pullback equation for differential formsGyula Csató · 2011- 📕Linear Algebra IFrederick P. Greenleaf, Sophie Marques · 2019
- 📕Advances in non-Archimedean analysisInternational Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal) · 2011
- 📕Rings with Polynomial Identities and Finite Dimensional Representations of AlgebrasEli Aljadeff, Antonio Giambruno · 2020
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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