Luminance isn't a radiometric quantity. It's basically radiance weighted by an observer's luminosity function. If you compare the definition of radiance and luminance, you will see they are exactly the same with the exception that radiance uses watts whereas luminance uses candelas (which are just watts weighted by "perceived brightness", loosely stated).
I have to agree with Juliean, this is probably not the definition of luminance you were thinking of, and I think what you are looking for is pretty much just what you already know - it's just radiance, weighted to match our tristimulus color matching functions (this is what photometry is about - how humans and other species perceive light, not just a radiometric physical interpretation of it)

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