Bulk irreducibles of the modular group
Faculty of Sciences. Mathematics and Computer Science
Journal of Algebra & Its Applications
, 14 p.
University of Antwerp
As the 3-string braid group B3 and the modular group Γ are both of wild representation type one cannot expect a full classification of all their finite dimensional simple representations. Still, one can aim to describe 'most' irreducible representations by constructing for each d-dimensional irreducible component X of the variety issn(Γ) classifying the isomorphism classes of semi-simple n-dimensional representations of Γ an explicit minimal étale rational map 𝔸d → X having a Zariski dense image. Such rational dense parametrizations were obtained for all components when n < 12 in . The aim of the present paper is to establish such parametrizations for all finite dimensions n.