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 |
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Pages (from-to) | 45-63 |
Number of pages | 19 |
Journal | Publications of the Research Institute for Mathematical Sciences |
Volume | 48 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)