Super duality and homology of unitarizable modules of Lie algebras

Details Super duality and homology of unitarizable modules of Lie algebras Super duality and homology of unitarizable modules of Lie algebras

2010-12-06

arxiv.org/abs/1012.1087v1

Mathematics

Representation Theory

16 pages

Scientific paper

The u-homology formulas for unitarizable modules at negative levels over
classical Lie algebras of infinite rank of types gl(n), sp(2n) and 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) X SU(q)),
(Sp(2n);U(n)) and (SO*(2n);U(n)).

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