Certain invariants of generic matrix algebras

Ögüşlü N. Ş., FINDIK Ş.

Algebra and Discrete Mathematics, cilt.38, sa.1, ss.87-92, 2024 (ESCI) identifier

  • 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, zbMATH
  • 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.