2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136367We give an alternative proof of the Adler-Shiota-van Moerbeke formula for the BKP hierarchy. The proof is based on a simple expression for the generator of additional symmetries and the Fay identity of the BKP hierarchy.14 pagesExactly Solvable and Integrable SystemsOn the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formulatext