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Abelianization of the BGG resolution of representations of the Virasoro algebra

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Functional Analysis and Its Applications Aims and scope

To the memory of V. I. Arnold

Abstract

We construct a resolution that permits computing the t-character of representations of the Virasoro algebra from the (2, 2p + 1)-models, i.e., the characters of the associated graded spaces with respect to the Poincaré-Birkhoff-Witt filtration.

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Correspondence to B. L. Feigin.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 45, No. 4, pp. 72–81, 2011

Original Russian Text Copyright © by B. L. Feigin

Supported in part by RFBR-CNRS grant no. 09-02-93-106 and Support of Scientific Schools grant no. 34-72.2008.2.

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Feigin, B.L. Abelianization of the BGG resolution of representations of the Virasoro algebra. Funct Anal Its Appl 45, 297–304 (2011). https://doi.org/10.1007/s10688-011-0032-7

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  • DOI: https://doi.org/10.1007/s10688-011-0032-7

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