Certain invariants of generic matrix algebras

• Date: 2024
• Main Authors: Öğüşlü, Nazar Ş., Fındık, Şehmus
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: generic; invariant; Lie algebra; 13A50; 16R30; 17B01
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2195
• Journal Title: Algebra and Discrete Mathematics

Let \(K\) be a field of characteristic zero, \(W\) be the associative unital algebra generated by two generic traceless matrices \(X,\) \(Y.\) We also handle the Lie subalgebra \(L\) of the algebra \(W\) consisting of its Lie elements. Consider the subgroup \(G=\langle e_{21}-e_{12}\rangle\) of the...