Hall algebras and the Quantum Frobenius
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...
| Հիմնական հեղինակ: | |
|---|---|
| Ձևաչափ: | Journal article |
| Լեզու: | English |
| Հրապարակվել է: |
2006
|
| Ամփոփում: | 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. |
|---|