Abstract
Let ∧p E,p≧1, and ∧q E*,q≧1, be exterior powers of E and E* respectively and let the pair (∧ pq (E,E*),⊗) be a tensor product for ∧pE and ∧qE*. The elements of ∧ pq (E,E*) are called (p,q)-vectors. A (p,q)-vector of the form (x1 ∧... ∧ xp) ⊗ (x*1 ∧ ... ∧ x*q) will be called decomposable.
Throughout this paragraph E, E* will denote a pair of dual vector spaces.
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© 1967 Springer-Verlag Berlin · Heidelberg
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Greub, W.H. (1967). Mixed exterior algebra. In: Multilinear Algebra. Die Grundlehren der mathematischen Wissenschaften, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00795-2_6
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DOI: https://doi.org/10.1007/978-3-662-00795-2_6
Publisher Name: Springer, Berlin, Heidelberg
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