Hall algebras and quantum Frobenius
Mcgerty, Kevin
Duke Math. J., Tome 151 (2010) no. 1, p. 181-206 / Harvested from Project Euclid
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Lusztig constructed a Frobenius morphism for quantum groups at an $\ell$ th root of unity, which gives an integral lift of the Frobenius map on universal enveloping algebras in positive characteristic. Using the Hall algebra, we give a simple construction of this map for the positive part of the quantum group attached to an arbitrary Cartan datum in the nondivisible case
Publié le : 2010-07-15
Classification:  17B35,  16A64 
@article{1279140508,
     author = {Mcgerty, Kevin},
     title = {Hall algebras and quantum Frobenius},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 181-206},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1279140508}
}

Mcgerty, Kevin. Hall algebras and quantum Frobenius. Duke Math. J., Tome 151 (2010) no. 1, pp.  181-206. http://gdmltest.u-ga.fr/item/1279140508/