Virasoro Action on the 𝑄-Functions

Abstract

A formula for Schur 𝑄-functions is presented, which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for 𝐿₋ₖ𝑄λ, where 𝐿₋ₖ (𝑘 ≥ 1) is the Virasoro operator.