Title
Bulk irreducibles of the modular group Bulk irreducibles of the modular group
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Journal of Algebra & Its Applications
Volume/pages
15(2016) :1 , 14 p.
ISSN
0219-4988
0219-4988
Article Reference
1650006
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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 &#120120;d → X having a Zariski dense image. Such rational dense parametrizations were obtained for all components when n < 12 in [5]. The aim of the present paper is to establish such parametrizations for all finite dimensions n.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/c74488/10761.pdf
E-info
https://repository.uantwerpen.be/docman/iruaauth/5f4d8d/b1610762.pdf
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