Highest weight categories of Lie algebra modules

Citation
V. Futorny et V. Mazorchuk, Highest weight categories of Lie algebra modules, J PURE APPL, 138(2), 1999, pp. 107-118
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
138
Issue
2
Year of publication
1999
Pages
107 - 118
Database
ISI
SICI code
0022-4049(19990517)138:2<107:HWCOLA>2.0.ZU;2-I
Abstract
We study a certain class of categories of Lie algebra modules which include the well-known categories O and O-S. We show that all these categories are highest weight categories. (C) 1999 Elsevier Science B.V. All rights reser ved. AIMS Classification: 17B10; 16S30; 16D99.