Kostant's formula for a certain class of generalized Kac-Moody algebras
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概要
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Let \mathfrak{g}(A) be a symmetrizable generalized Kac-Moody algebra with \mathfrak{h} its Cartan subalgebra and \mathfrak{n}\underbar{\phantom{a}} the sum of all its negative root spaces. In this paper, we prove the generalization of Kostants homology formula under a certain condition on the matrix A. This formula completely determines the \mathfrak{h}-modules structure of the homology of \mathfrak{n}\underbar{\phantom{a}} in the irreducible highest weight \mathfrak{g}(A)-module L(Λ) with an arbitrary dominant integral weight Λ.
- 東北大学の論文
著者
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Naito Satoshi
Department Of Applied Bioscience Faculty Of Agriculture Hokkaido University
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Naito Satoshi
Department Of Mathematics Shizuoka University
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