Super duality and homology of unitarizable modules of lie Algebras

Po Yi Huang, Ngau Lam, Tze Ming To

Research output: Contribution to journalArticle

1 Citation (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 languageEnglish
Pages (from-to)45-63
Number of pages19
JournalPublications of the Research Institute for Mathematical Sciences
Volume48
Issue number1
DOIs
Publication statusPublished - 2012 Feb 23

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Homology
Lie Algebra
Duality
Module

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Super duality and homology of unitarizable modules of lie Algebras. / Huang, Po Yi; Lam, Ngau; To, Tze Ming.

In: Publications of the Research Institute for Mathematical Sciences, Vol. 48, No. 1, 23.02.2012, p. 45-63.

Research output: Contribution to journalArticle

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