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Journals / Journal of Universal Mathematics / 2023 / Cilt: 6 - Sayı: 1

ON $D_4$ INVARIANTS OF POLYNOMIAL ALGEBRAS

Şehmus FINDIK
Nazar Şahin ÖĞÜŞLÜ
Pages
99–104
Publication Date
2023-01-31
DOI
—
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AI Summary & Key Takeaways

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

In the present study, we give generators of the algebra of $D_4$ invariants in the polynomial algebra with four generators over a field of characteristic zero.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $D_4$ be the dihedral group of order $8$.
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Key Findings & Data:Let $D_4$ be the dihedral group of order $8$.
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Conclusion & Impact:In the present study, we give generators of the algebra of $D_4$ invariants in the polynomial algebra with four generators over a field of characteristic zero.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Commutative · invariant theory · rings

Abstract

Let $D_4$ be the dihedral group of order $8$. In the present study, we give generators of the algebra of $D_4$ invariants in the polynomial algebra with four generators over a field of characteristic zero.

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Cite This Article

FINDIK, Ş., ÖĞÜŞLÜ, N. Ş. (2023). ON $D_4$ INVARIANTS OF POLYNOMIAL ALGEBRAS. Journal of Universal Mathematics, Cilt: 6 - Sayı: 1, 99–104. https://ajindex.com/articles/880598

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References (5)

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  4. E. Noether, Der Endlichkeitssatz der Invarianten endlicher Gruppen, Math. Ann., 77, pp. 89-92 (1916).
  5. B. Sturmfels, Algorithms in invariant theory. Springer Science and Business Media, (2008).