Two-sided BGG resolutions of admissible representations
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- by Tomoyuki Arakawa
- Represent. Theory 18 (2014), 183-222
- DOI: https://doi.org/10.1090/S1088-4165-2014-00454-0
- Published electronically: August 7, 2014
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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-infinite analogue of the generalized Borel-Weil theorem for minimal parabolic subalgebras which enables an inductive study of admissible representations.References
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Bibliographic Information
- Tomoyuki Arakawa
- Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 Japan
- MR Author ID: 611463
- Email: arakawa@kurims.kyoto-u.ac.jp
- Received by editor(s): April 9, 2013
- Received by editor(s) in revised form: April 10, 2013, and June 6, 2014
- Published electronically: August 7, 2014
- Additional Notes: This work was partially supported by JSPS KAKENHI Grant Number No. 20340007 and No. 23654006.
- © Copyright 2014 American Mathematical Society
- Journal: Represent. Theory 18 (2014), 183-222
- MSC (2010): Primary 06B15, 17B67, 81R10
- DOI: https://doi.org/10.1090/S1088-4165-2014-00454-0
- MathSciNet review: 3244449