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arXiv · 1207.4276

Two-sided BGG resolutions of admissible representations

Tomoyuki Arakawa
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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-infintie analogue of the generalized Borel-Weil theorem for mimimal parabolic subalgebras which enables an inductive study of admissible representations.

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BibTeXRIS

Tomoyuki Arakawa. 2012-07-18. Two-sided BGG resolutions of admissible representations. https://doi.org/10.1090/s1088-4165-2014-00454-0

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