Abstract
Lusztig constructed a Frobenius morphism for quantum groups at an 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
Citation
Kevin Mcgerty. "Hall algebras and quantum Frobenius." Duke Math. J. 154 (1) 181 - 206, 15 July 2010. https://doi.org/10.1215/00127094-2010-036
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