Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic

We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic $p$. Some further symmetries of $\mathfrak{g}\mathfrak{l}(p)$-homology in characteristic $p$ are also discussed.