Two-sided BGG resolutions of admissible representations
classification
🧮 math.QA
math.RT
keywords
admissiblerepresentationsresolutionstwo-sidedaffinealgebrasanalogueapplication
read the original abstract
We prove the conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions of G-integrable admissible representations of affine Kac-Moody algebras at fractional levels. As an application we establish the semi-infintie analogue of the generalized Borel-Weil theorem for mimimal parabolic subalgebras which enables an inductive study of admissible representations.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.