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A Special Case of the Vanishing of a (G, σ)-Product in a (G, σ)-Space

Published online by Cambridge University Press:  20 November 2018

K. Singh
K. Singh*
Affiliation:
University of New Brunswick, Fredericton, New Brunswick
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In [1] we constructed a (G, σ)-space and determined a condition which is both necessary and sufficient for the (G, σ)-product of the vectors v1, v2, …, vn to be zero. The purpose of the present paper is to give a criterion for v1 Δ v2 Δ … Δ vn to be zero, in the particular case when V is a unitary space and the group G belongs to a special class of groups which we shall define below.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 2 , June 1971 , pp. 231 - 233
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Singh, K., On the vanishing of a (G, σ)-product in a (G, σ)-space, Canad. J. Math. (2) XXII (1970), 363-371.Google Scholar
2. Williamson, Stanley Gill, A characterization of the homogeneous zero element in certain symmetry classes of tensors, Ph.D. Thesis, Univ. of California at Santa Barbara, California, 1964.Google Scholar