Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras
نویسندگان
چکیده
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 (Theorem 3). The formula is derived from a more general but less explicit formula due to Feigin, Fuchs and Malikov [Funct. Anal. Appl. 20 (1986), no. 2, 103–113]. In the simpler case of A1 the formula was obtained in [Fuchs D., Funct. Anal. Appl. 23 (1989), no. 2, 154–156].
منابع مشابه
1 1 Ju n 20 08 Projections of Singular Vectors of Verma Modules over Rank 2 Kac - Moody Lie Algebras
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 obtained in [4].
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