Title of article :
On the Double of the Hall Algebra of a Quiver
Author/Authors :
Bert Sevenhant، نويسنده , , Michel van den Bergh، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Abstract :
We show that it is possible to define reflection isomorphisms on the double of the (twisted) Hall algebra of a quiver. Combining these reflections with Fourier transform yields an alternative construction of Lusztigʹs braid group action on a quantum enveloping algebra.
Keywords :
Hall algebra , quantum Weyl groups , Quantum groups
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra
