Journal article
Hall algebras and the Quantum Frobenius
- Abstract:
- Lusztig has 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.
- Publication status:
- Published
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- Publisher copy:
- 10.1215/00127094-2010-036
Authors
- Journal:
- DUKE MATHEMATICAL JOURNAL More from this journal
- Volume:
- 154
- Issue:
- 1
- Pages:
- 181-206
- Publication date:
- 2006-01-09
- DOI:
- ISSN:
-
0012-7094
- Language:
-
English
- Keywords:
- Pubs id:
-
pubs:194796
- UUID:
-
uuid:84aaba8c-de2e-4b6b-b819-a012eee07b24
- Local pid:
-
pubs:194796
- Source identifiers:
-
194796
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright date:
- 2006
- Notes:
- Final version: typos corrected and exposition improved
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