Sheri, are you certain yours is cultivar 'Lucerne'? Lucerne is described as a more intense blue than the species. If you weren't certain it had a cultivar name then it most likely belongs in the species entry. One can't just look at a photo and try to guess at a cultivar name without knowing for certain.
Narrowleaf Blue-Eyed Grass (Sisyrinchium angustifolium)