Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T15:58:19.901Z Has data issue: false hasContentIssue false
  • English
  • Français

The Poincaré Map in Mixed Exterior Algebra

Published online by Cambridge University Press:  20 November 2018

J. R. Vanstone
J. R. Vanstone*
Affiliation:
Department of Mathematics, University of TorontoToronto, CanadaM5S 1A1
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Poincaré map of mixed exterior algebra generalizes the Hodge star operator and it plays a central rôle in the proofs of many classical identities of linear algebra. The principal purpose of this paper is to derive a new formula for it. This formula is useful in circumstances when the definition is too implicit. Several applications are discussed.

Keywords

15A75
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 2 , 01 June 1983 , pp. 129 - 136
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Greub, W. H., Multilinear Algebra (Second Edition), Springer-Verlag, New York (1978), Chapters 6 and 7.Google Scholar
2. Vanstone, J. R., Some New Identities in Mixed Exterior Algebra, C.R. Math. Rep. Acad. Sci. Canada, Vol. II (1980), no. 5.Google Scholar