A Combinatorial Description of Blocks in O(P,Λ) Associated with sl(2)-Induction

✍ Scribed by V Futorny; S König; V Mazorchuk

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 141 KB
• Volume: 231
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2000.8356

✦ Synopsis

We study the category , where is an admissible category of dense weight sl 2 -modules. We give a combinatorial description of projectively stratified algebras, arising from and prove a double centralizer property. Moreover, we determine the characters of tilting modules in and prove that the finitedimensional algebra associated with the principal block of our is its own Ringel dual.