Categories of induced modules for Lie algebras with triangular decomposition

Citation
V. Futorny et al., Categories of induced modules for Lie algebras with triangular decomposition, FORUM MATH, 13(5), 2001, pp. 641-661
Citations number
23
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
0933-7741 → ACNP
Volume
13
Issue
5
Year of publication
2001
Pages
641 - 661
Database
ISI
SICI code
0933-7741(2001)13:5<641:COIMFL>2.0.ZU;2-0
Abstract
We study categories of modules for Lie algebras with triangular decompositi on, which contain certain generalized Verma modules and are analogous to cl assical category O. We relate blocks of these categories to module categori es over finite-dimensional algebras, which turn out to be projectively stra tified. Moreover, we study tilting modules. Finally we show how to relate s ome of these situations to similar ones over certain proper subalgebras of the given Lie algebra.