Abstract
Let $\frak g$ be a symmetrizable generalized Kac-Moody algebra and $\frak n_-$ the sum of all its negative root spaces. We obtain a formula for the twining characters of the Lie algebra homology modules of $\frak n_-$ with coefficients in the irreducible highest weight $\frak g$-module $L(\Lambda)$ of symmetric, dominant integral highest weight $\Lambda$. This formula gives a new (and convincing) proof of the formula for the twining character of $L(\Lambda)$ above.
Citation
Satoshi Naito. "Twining characters and Kostant's homology formula." Tohoku Math. J. (2) 55 (2) 157 - 173, 2003. https://doi.org/10.2748/tmj/1113246936
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