1 1 Ju n 20 08 Projections of Singular Vectors of Verma Modules over Rank 2 Kac - Moody Lie Algebras

Abstract

We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2. The formula is derived from a more general but less explicit formula due to Feigin, Fuchs, and Malikov [3]. In the simpler case of A1 the formula was… (More)

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@inproceedings{Wilmarth200811J, title={1 1 Ju n 20 08 Projections of Singular Vectors of Verma Modules over Rank 2 Kac - Moody Lie Algebras}, author={Constance Wilmarth}, year={2008} }