I am looking for an explicit representation of the fundamental group of a closed orientable surface of genus >1. I guess they should be abundant in degree 2. Did anyone see the explicit matrix construction of such a representation? Are there any integral ones? Maybe in higher degrees?



explicit linear representations of fundamental groups of surfaces
Yes, this has been done.


MR1292919 (96f:30045) 
Maskit, Bernard(1-SUNYS)
Explicit matrices for Fuchsian groups. (English summary) The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions (Brooklyn, NY, 1992), 451–466, 
Contemp. Math., 169, Amer. Math. Soc., Providence, RI, 1994. 


You can find the paper with Google Books, if you don't have easy access to the library.


