This also happens to me, and I've been reading a lot about it online, even in old threads from this forum. Indeed, it seems that most people see brighter colors in their right eye, and warmer colors in their left eye. In my case, what I see from my left eye seems to be covered in a red/yellow filter. I found references to this paper, which may be key to this issue: http://onlinelibrary.wiley.com/doi/10.1111/j.1471-4159.2007.04766.x/full
And then, I came up with an explanation that may work. I realized that at my home, both my bed and the living room's sofa are located so that, when you are sitting or laying on them, the window (which is directly hit by the sun for several hours every day) is on your right side. I spent a considerable amount of time in these rooms during my early years, so I think this unbalanced amount of light exposure may have led to my right eye becoming more sensible to light.
This explanation is not perfect; in most schools and libraries (at least in Spain), the students' desks are placed so that the windows are on the left, to avoid your arm (if you are right-handed) screening the light while you write. Anyway, I guess that what matters most is what happens during the first years, when the visual system is not completely mature yet.