Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ 
at a root of unity

Chari, Vyjayanthi; Jing, Naihuan

Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ at a root of unity

Duke Math. J., Tome 110 (2001) no. 1, p. 183-197 / Harvested from Project Euclid

Résumé

Using vertex operators, we construct explicitly Lusztig's ℤ[q,q^−4]-lattice for the level one irreducible representations of quantum affine algebras of ADE type. We then realize the level one irreducible modules at roots of unity and show that the character is given by the Weyl-Kac character formula.

Publié le : 2001-05-15
Classification: 17B37, 17B67

@article{1091737128,
     author = {Chari, Vyjayanthi and Jing, Naihuan},
     title = {Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ 
at a root of unity},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 183-197},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1091737128}
}

Chari, Vyjayanthi; Jing, Naihuan. Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ 
at a root of unity. Duke Math. J., Tome 110 (2001) no. 1, pp.  183-197. http://gdmltest.u-ga.fr/item/1091737128/