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Rank k Vectors in Symmetry Classes of Tensors

Published online by Cambridge University Press:  20 November 2018

Ming-Huat Lim
Ming-Huat Lim*
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia
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Let F be a field, G a subgroup of Sm, the symmetric group of degree m, and χ a linear character on G, i.e., a homomorphism of G into the multiplicative group of F. Let V1,...,Vm be vector spaces over F such that Vi = Vσ(i) for i=1,…,m and for all σ∈G. If W is a vector space over F, then a m-multilinear function is said to be symmetric with respect to G and χ if

for any σ ∊ G and for arbitrary xi ∊ Vi.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 1 , 01 March 1976 , pp. 67 - 76
Copyright
Copyright © Canadian Mathematical Society 1976

Footnotes

✶

This paper arises from the author′s Ph.D. thesis written at the University of British Columbia under the supervision of Professor R. Westwick.

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