FUNDAMENTA MATHEMATICAE, vol.217, no.3, pp.249-264, 2012 (SCI-Expanded)
Let Sigma be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom (pi(1)(Sigma), PSLn(R))/PSLn(R) for n > 2.