Super Duality and Homology of Unitarizable Modules of Lie Algebras
Super Duality and Homology of Unitarizable Modules of Lie Algebras
The \mathfrak u -homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types \mathfrak gl (n) , \mathfrak sp (2n) and \mathfrak so (2n) are obtained. As a consequence, we recover the Enright's formulas for three Hermitian symmetric pairs of classical types (SU(p,q),SU(p)\times …