The Poincaré Map in Mixed Exterior Algebra
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 129-136
Voir la notice de l'article provenant de la source Cambridge University Press
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.
Vanstone, J. R. The Poincaré Map in Mixed Exterior Algebra. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 129-136. doi: 10.4153/CMB-1983-021-2
@article{10_4153_CMB_1983_021_2,
author = {Vanstone, J. R.},
title = {The {Poincar\'e} {Map} in {Mixed} {Exterior} {Algebra}},
journal = {Canadian mathematical bulletin},
pages = {129--136},
year = {1983},
volume = {26},
number = {2},
doi = {10.4153/CMB-1983-021-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-021-2/}
}
[1] 1. Greub, W. H., Multilinear Algebra (Second Edition), Springer-Verlag, New York (1978), Chapters 6 and 7. Google Scholar
[2] 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
Cité par Sources :