Invariants of a free linear category and representation type

Claude Cibils (1) , Eduardo N. Marcos (2)

1 IMAG - Institut Montpelliérain Alexander Grothendieck
2 IME

We consider an homogeneous action of a finite group on a free linear category over a field in order to prove that the subcategory of invariants is still free. Moreover we show that the representation type is preserved when considering invariants.

Domaines: Algèbres quantiques [math.QA]; Catégories et ensembles [math.CT]; Théorie des représentations [math.RT]

Claude Cibils, Eduardo N. Marcos. Invariants of a free linear category and representation type. Journal of Pure and Applied Algebra, 2016, 220 (9), pp.3119-3132. ⟨10.1016/j.jpaa.2016.02.007⟩. ⟨hal-01382677⟩