I am interested to know the behavior of dyes toward light. Specifically, Blue dyes re-emit the spectrum, especially from the green zone (known as principal in LED lamps, and blue dyes are known to absorb green light), to a range
In general a given dye will absorb some wavelengths of light, and if they emit light (via fluorescence, phosphorescence, or in the case of LEDs a current of electricity), they do so at a longer wavelength. There are exceptions to this (e.g. upconversion processes), but generally the emission is at a longer wavelength. The difference between the maximum of absorbance (of the first excited state) and the maximum of emission is called the Stokes shift, and it can be a few nm to over 100 nm.
So you could see a dye absorb blue light in the range of say 420-500 nm. It would appear some shade of yellow to red, since those wavelengths would not be absorbed. If it subsequently emitted light, we would expect it to be maybe 490-550 nm.
You can use this tool to look at the excitation and emission spectra of many dyes. Hope that helps!