Direct Sum Structure of the Super Virasoro Algebra and a Fermion Algebra Arising from the Quantum Toroidal ${\mathfrak{gl}}_2$

Yusuke Ohkubo

It is known that the $q$-deformed Virasoro algebra can be constructed from a certain representation of the quantum toroidal ${\mathfrak{gl}}_1$ algebra. In this paper, we apply the s…