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Journals / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 3

Modular Symmetry Classes of Tensors

M. SHAHRYARI
M. A. SHAHABI
Pages
417–433
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some problems are also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:At the end we introduce a non-degenerate bilinear form on a modular symmetry class.
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Conclusion & Impact:Some problems are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (1999) · 417-434. Full text: pdf Other articles published in the same issue: Turk. J. Math.

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.

Özet

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.

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Cite This Article

SHAHRYARI, M., SHAHABI, M. A. (2022). Modular Symmetry Classes of Tensors. Turkish Journal of Mathematics, Cilt: 23 - Sayı: 3, 417–433. https://ajindex.com/articles/608967

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