The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. II: An explicit construction of the resolution (Q1333218)

This is a sequel to the previous paper [Publ. Res. Inst. Math. Sci. 29, 709--730 (1993; Zbl 0822.17022)]. In this part the author constructs the strong Bernstein-Gelfand-Gelfand (BGG) resolution for the irreducible highest weight module \(L (\Lambda)\) over a generalized Kac-Moody algebra. The author's approach is similar to that of \textit{A. Rocha-Caridi} [Trans. Am. Math. Soc. 262, 335--366 (1980; Zbl 0449.17008)] and \textit{A. Rocha- Caridi} and \textit{N. R. Wallach} [Math. Z. 180, 151--177 (1982; Zbl 0475.17002)], who constructed the strong BGG resolution for Kac-Moody algebras.