Exterior Algebra

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


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
$$\sigma \varphi ({x_1}, \ldots {x_p}) = \varphi ({x_{\sigma (1),}} \ldots ,{x_{\sigma (p)}}).$$


Vector Space Associative Algebra Degree Zero Algebra Isomorphism Minimum Ideal 
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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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