Email this article Representation and character varieties of the Baumslag-Solitar groups
- Authors: Benyash-Krivets V.V.1, Govorushko I.O.1
-
Affiliations:
- Belarusian State University
- Issue: Vol 292, No 1 (2016)
- Pages: 20-36
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173435
- DOI: https://doi.org/10.1134/S008154381601003X
- ID: 173435
Cite item
Open Access
Access granted
Subscription Access
Abstract
Representation and character varieties of the Baumslag–Solitar groups BS(p, q) are analyzed. Irreducible components of these varieties are found, and their dimension is calculated. It is proved that all irreducible components of the representation variety Rn(BS(p, q)) are rational varieties of dimension n2, and each irreducible component of the character variety Xn(BS(p, q)) is a rational variety of dimension k ≤ n. The smoothness of irreducible components of the variety Rns (BS(p, q)) of irreducible representations is established, and it is proved that all irreducible components of the variety Rns (BS(p, q)) are isomorphic to A1 {0}.
About the authors
V. V. Benyash-Krivets
Belarusian State University
Author for correspondence.
Email: benyash@bsu.by
Belarus, Nezavisimosti Ave. 4, Minsk, 220030
I. O. Govorushko
Belarusian State University
Email: benyash@bsu.by
Belarus, Nezavisimosti Ave. 4, Minsk, 220030
Supplementary files
