The -homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types , and are obtained. As a consequence, we recover the Enright's formulas for three Hermitian symmetric pairs of classical types , and .
Cite this article
Po-Yi Huang, Ngau Lam, Tze-Ming To, Super Duality and Homology of Unitarizable Modules of Lie Algebras. Publ. Res. Inst. Math. Sci. 48 (2012), no. 1, pp. 45–63DOI 10.2977/PRIMS/60