2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102152We give a definition of character sheaves on the group compactification which is equivalent to Lusztig's definition in \cite{L3}. We also prove some properties of the character sheaves on the group compactification.22 pages. Final versionRepresentation Theory20G99The character sheaves on the group compactificationtext