Modular Symmetry Classes of Tensors
Authors : M. Shahryari, M. A. Shahabi
Pages : 417-434
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-zero. Then we use modular symmetry classes of tensors to study the polynomial representations of GL(V), where V is a vector space over a field of characterisitic p. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.Keywords : Turk. J. Math., 23, (1999), 417-434. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.3.