𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Root Polytopes and Borel Subalgebras

✍ Scribed by Cellini, P.; Marietti, M.

Book ID
126106757
Publisher
Oxford University Press
Year
2014
Tongue
English
Weight
374 KB
Category
Article
ISSN
1073-7928

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Root polytope and partitions
Root polytope and partitions
✍ ChirivΓ¬, Rocco πŸ“‚ Article πŸ“… 2014 πŸ› Springer 🌐 English βš– 354 KB
Borel Subalgebras and Categories of High
Borel Subalgebras and Categories of Highest Weight Modules for Toroidal Lie Algebras
✍ 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

Strong Exact Borel Subalgebras of Quasi-
Strong Exact Borel Subalgebras of Quasi-hereditary Algebras and Abstract Kazhdan–Lusztig Theory
✍ 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