  Lithium abundance A(Li) and surface rotation are good diagnostic tools to
probe the internal mixing and angular momentum transfer in stars. We explore
the relation between surface rotation, A(Li) and age in a sample of seismic
solar-analogue (SA) stars and study their possible binary nature. We select a
sample of 18 SA observed by the NASA Kepler satellite for an in-depth analysis.
Their seismic properties and surface rotation are well constrained from
previous studies. About 53 hours of high-resolution spectroscopy were obtained
to derive fundamental parameters and A(Li). These values were combined and
confronted with seismic masses, radii and ages, as well as surface rotation
periods. We identify a total of 6 binary systems. A well-defined relation
between A(Li) and rotation was obtained. With models constrained by the
characterisation of the individual mode frequencies for single stars, we
identify a sequence of three SA with similar mass (~1.1Mo) and stellar ages
ranging between 1 to 9 Gyr. Within the realistic estimate of ~7% for the mass
uncertainty, we find a good agreement between the measured A(Li) and the
predicted A(Li) evolution from a grid of models calculated with the
Toulouse-Geneva stellar evolution code, which includes rotational internal
mixing, calibrated to reproduce solar chemical properties. We present A(Li) for
a consistent spectroscopic survey of SA with a mass of 1.00+/-0.15Mo, and
characterised through asteroseismology and surface rotation rates based on
Kepler observations. The correlation between A(Li) and P_rot supports the
gyrochronological concept for stars younger than the Sun. The consensus between
measured A(Li) for solar analogues with model grids, calibrated onto the Sun's
chemical properties suggests that these targets share the same internal
physics. In this light, the solar Li and rotation rate appear to be normal for
a star like the Sun.
