Certain invariants of generic matrix algebras
ALGEBRA AND DISCRETE MATHEMATICS, cilt.38, sa.1, ss.87-92, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.12958/adm2195
- Dergi Adı: ALGEBRA AND DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.87-92
- Anahtar Kelimeler: Generic, Invariant, Lie algebra
- Çukurova Üniversitesi Adresli: Evet
Özet
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 = ⟨e21 − e12⟩ of the special linear group SL2(K) of order 4. In this study, we give free generators of the algebras WG and LG of invariants of the group G as a C(W)G-module.