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.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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A Class of Banach Algebras Whose Duals Have the Schur Property
Modular Symmetry Classes of Tensors
Some Theorems Involving Inequalities on p-valent Functions
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Alternative Polynomial and Holomorphic Dunford-Pettis Properties
Two Lemmas on Formal Power Series
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Structure of m-dimensional implicitly defined surfaces in n-dimensional Euclidean space $E_n$
Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations