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Exterior Algebra

  • Werner Greub
Part of the Universitext book series (UTX)

Abstract

Let E and F be two vector spaces and let
$$\phi :\underbrace {E \times \times E}_p \to F$$
be a p-linear mapping. Then every permutation σ ∊ S p determines another p-linear mapping σφ given by
$$\sigma \varphi ({x_1}, \ldots {x_p}) = \varphi ({x_{\sigma (1),}} \ldots ,{x_{\sigma (p)}}).$$

Keywords

Vector Space Associative Algebra Degree Zero Algebra Isomorphism Minimum Ideal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Werner Greub
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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