TY - JOUR
T1 - Projective modules over classical Lie algebras of infinite rank in the parabolic category
AU - Chen, Chih Whi
AU - Lam, Ngau
N1 - Funding Information:
The authors thank Kevin Coulembier for valuable discussions. The first author is supported by Vergstiftelsen. The second author was partially supported by MoST grant 104-2115-M-006-015-MY3 of Taiwan.
Publisher Copyright:
© 2019
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.
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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 -