𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strong Exact Borel Subalgebras of Quasi-Hereditary Algebras

✍ Scribed by Yuehui Zhang


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
87 KB
Volume
231
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


It is proved that strong exact Borel subalgebras of quasi-hereditary algebra are conjugate to each other and are in bijection with the collection of maximal semisimple subalgebras.


πŸ“œ SIMILAR VOLUMES


Strong Exact Borel Subalgebras of Quasi-
✍ Steffen KΓΆnig πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 274 KB

Strong exact Borel subalgebras and strong 2-subalgebras are shown to exist for quasi-hereditary algebras which possess exact Borel subalgebras and 2-subalgebras. This implies that the algebras associated with blocks of category O have strong exact Borel subalgebras and strong 2-subalgebras. The stru

Borel Subalgebras and Categories of High
✍ B Cox; V Futorny πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 220 KB

In this article we begin an investigation of the conjugacy classes of Borel subalgebras together with Verma modules induced from ''standard'' Borel subalgebras of a toroidal Lie algebra α’‘ in two variables. We define, for each highest weight , a category O O of representations of α’‘ that contain these