Semisimplicity of some deformations of the subgroup category and the biset category

Creative Commons License

Barker L., ÖĞÜT İ. A.

Journal of Pure and Applied Algebra, cilt.228, sa.6, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 228 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.jpaa.2024.107604
  • Dergi Adı: Journal of Pure and Applied Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Seed, Semisimple category, Semisimple deformation, Twisted category algebra, Vanishing problem
  • Ankara Üniversitesi Adresli: Evet

Özet

We introduce some deformations of the biset category and prove a semisimplicity property. We also consider another group category, called the subgroup category, whose morphisms are subgroups of direct products, the composition being star product. For some deformations of the subgroup category, too, we prove a semisimplicity property. The method is to embed the deformations of the biset category into the more easily described deformations of the subgroup category.