Twining characters and Kostant's homology formula
Naito, Satoshi
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 157-173 / Harvested from Project Euclid
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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.
Publié le : 2003-06-14
Classification:  17B67,  17B10 
@article{1113246936,
     author = {Naito, Satoshi},
     title = {Twining characters and Kostant's homology formula},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 157-173},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246936}
}

Naito, Satoshi. Twining characters and Kostant's homology formula. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  157-173. http://gdmltest.u-ga.fr/item/1113246936/