The BGG resolution, character and denominator formulas, and related results for Kac-Moody algebras
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- by Wayne Neidhardt PDF
- Trans. Amer. Math. Soc. 297 (1986), 487-504 Request permission
Abstract:
Let $\mathfrak {g}$ be a Kac-Moody algebra defined by a (not necessarily symmetrizable) generalized Cartan matrix. We construct a BGG-type resolution of the irreducible module $L(\lambda )$ with dominant integral highest weight $\lambda$, and we use this to obtain character and denominator formulas analogous to those of Weyl. We also determine a condition on the algebra which is sufficient for these formulas to take their classical form, and which implies that the set of defining relations is complete.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 297 (1986), 487-504
- MSC: Primary 17B67
- DOI: https://doi.org/10.1090/S0002-9947-1986-0854079-0
- MathSciNet review: 854079