Two-sided Bgg Resolutions of Admissible Representations

نویسنده

  • TOMOYUKI ARAKAWA
چکیده

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.

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تاریخ انتشار 2014