Color conversion between LSST and SDSS broad band filters

Hi,
I am looking for any direct conversion between LSST filters to SDSS filters or vice versa, (simple transformation linear relations between m_sdss and m_lsst). Do any such relations exist ?

Regards,
Vibhore

The filter throughput are kept upto date in GitHub - lsst/throughputs: LSST Simulations repository for baseline evaluation information - Lynne’s notebook may answer your question throughputs/examples/LSST Throughputs Curves.ipynb at main · lsst/throughputs · GitHub