Twining characters, Kostant’s homology formula, and the Bernstein- Gelfand-Gelfand resolution
Naito, Satoshi
J. Math. Kyoto Univ., Tome 42 (2002) no. 4, p. 83-103 / Harvested from Project Euclid
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We give a new proof of the formulas for the twining character of the Verma module $M(\lambda )$ of symmetric highest weight $\lambda$ and for the twining character of the irreducible highest weight module $L(\Lambda )$ of symmetric, dominant integral highest weight $\Lambda$ over a symmetrizable generalized Kac-Moody algebra g, by using the Bernstein-Gelfand-Gelfand resolution of $L(\Lambda )$.
Publié le : 2002-05-15
Classification:  17B67,  17B10,  17B55 
@article{1250284712,
     author = {Naito, Satoshi},
     title = {Twining characters, Kostant's homology formula, and the Bernstein- Gelfand-Gelfand resolution},
     journal = {J. Math. Kyoto Univ.},
     volume = {42},
     number = {4},
     year = {2002},
     pages = { 83-103},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250284712}
}

Naito, Satoshi. Twining characters, Kostant’s homology formula, and the Bernstein- Gelfand-Gelfand resolution. J. Math. Kyoto Univ., Tome 42 (2002) no. 4, pp.  83-103. http://gdmltest.u-ga.fr/item/1250284712/