Super duality and homology of unitarizable modules of lie Algebras

Po Yi Huang; Ngau Lam; Tze Ming To

doi:10.2977/PRIMS/60

Super duality and homology of unitarizable modules of lie Algebras

Po Yi Huang
, Ngau Lam
, Tze Ming To

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of in_nite rank of types gl(n), sp(2n) and so(2n) are obtained. As a consequence, we recover Enright's formulas for three Hermitian symmetric pairs of classical types, (SU(p; q); SU(p) × SU(q)), (Sp(2n);U(n)) and (SO* (2n);U(n)).

Original language	English
Pages (from-to)	45-63
Number of pages	19
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	48
Issue number	1
DOIs	https://doi.org/10.2977/PRIMS/60
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2977/PRIMS/60

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AU - To, Tze Ming

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AB - The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of in_nite rank of types gl(n), sp(2n) and so(2n) are obtained. As a consequence, we recover Enright's formulas for three Hermitian symmetric pairs of classical types, (SU(p; q); SU(p) × SU(q)), (Sp(2n);U(n)) and (SO* (2n);U(n)).

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JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

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ER -

Super duality and homology of unitarizable modules of lie Algebras

Abstract

All Science Journal Classification (ASJC) codes

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