Abstract
Let n be a positive integer, and let V1,...,V n ,W be vector spaces. A function
is called a multilinear form iff for each integer i, 1 ≤ i ≤ n, and each (n − 1)tuple (v1,..., v i +1,..., v n ) the function
definced by
is a linear transformation. For n = 1 a multilinear form is simply a linear transformation. For n = 2 we speak of a bilinear form. Often we just say form for a multilinear form.
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© 1984 Springer-Verlag New York Inc.
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Smith, L. (1984). Multilinear algebra: determinants. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0252-0_16
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DOI: https://doi.org/10.1007/978-1-4684-0252-0_16
Publisher Name: Springer, New York, NY
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