Abstract
The alternating product has applications throughout mathematics. In differential geometry, one takes the maximal alternating product of the tangent space to get a canonical line bundle over a manifold. Intermediate alternating products give rise to differential forms (sections of these products over the manifold). In this chapter, we give the algebraic background for these constructions.
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Lang, S. (2002). The Alternating Product. In: Algebra. Graduate Texts in Mathematics, vol 211. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0041-0_19
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DOI: https://doi.org/10.1007/978-1-4613-0041-0_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6551-1
Online ISBN: 978-1-4613-0041-0
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