Center of the affine ${\mathfrak{gl}}_{n|1}$ at the critical level and pseudo-differential operators

Dražen Adamović, Boris Feigin, Shigenori Nakatsuka

We prove that the center of the affine Lie algebra ${\widehat{\mathfrak{gl}}}_{n|1}$ at the critical level is generated by the coefficients in the expansion of the pseudo-differentia…