Abstract
We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a,b,c,d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG category O‾ over infinite rank Lie superalgebra of types a,b,c,d through the super duality is also a Koszul category.
| Original language | English |
|---|---|
| Pages (from-to) | 125-148 |
| Number of pages | 24 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 224 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2020 Jan |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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Projective modules over classical Lie algebras of infinite rank in the parabolic category. / Chen, Chih Whi; Lam, Ngau.
In: Journal of Pure and Applied Algebra, Vol. 224, No. 1, 01.2020, p. 125-148.Research output: Contribution to journal › Article
TY - JOUR
T1 - Projective modules over classical Lie algebras of infinite rank in the parabolic category
AU - Chen, Chih Whi
AU - Lam, Ngau
PY - 2020/1
Y1 - 2020/1
N2 - We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a,b,c,d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG category O‾ over infinite rank Lie superalgebra of types a,b,c,d through the super duality is also a Koszul category.
AB - We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a,b,c,d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG category O‾ over infinite rank Lie superalgebra of types a,b,c,d through the super duality is also a Koszul category.
UR - http://www.scopus.com/inward/record.url?scp=85065221346&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065221346&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2019.04.018
DO - 10.1016/j.jpaa.2019.04.018
M3 - Article
AN - SCOPUS:85065221346
VL - 224
SP - 125
EP - 148
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 1
ER -