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 | |
| Publication status | Published - 2012 Feb 23 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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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 journal › Article
TY - JOUR
T1 - Super duality and homology of unitarizable modules of lie Algebras
AU - Huang, Po Yi
AU - Lam, Ngau
AU - To, Tze Ming
PY - 2012/2/23
Y1 - 2012/2/23
N2 - 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)).
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)).
UR - http://www.scopus.com/inward/record.url?scp=84857164779&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84857164779&partnerID=8YFLogxK
U2 - 10.2977/PRIMS/60
DO - 10.2977/PRIMS/60
M3 - Article
AN - SCOPUS:84857164779
VL - 48
SP - 45
EP - 63
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
SN - 0034-5318
IS - 1
ER -