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arXiv · 1012.1087

Super duality and homology of unitarizable modules of Lie algebras

Po-Yi Huang·Ngau Lam·Tze-Ming To
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Abstract

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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Po-Yi Huang, Ngau Lam, Tze-Ming To. 2010-12-06. Super duality and homology of unitarizable modules of Lie algebras. https://arxiv.org/abs/1012.1087

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