M. SHAHRYARI, M. A. SHAHABI

7079

Modular Symmetry Classes of Tensors

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.

Anahtar Kelimeler:

Turk. J. Math., 23, (1999), 417-434. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.3.

Modular Symmetry Classes of Tensors

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.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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