Record number :
695985
Title of article :
Ringel–Hall algebras and Lusztigʹs symmetries
Author/Authors :
Bangming Deng، نويسنده , , Jie Xiao، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Pages :
16
From page :
357
To page :
372
Abstract :
Let be the double Ringel–Hall algebra of a finite dimensional hereditary algebra Λ. The present paper shows that the BGP-reflection operators of coincide with Lusztigʹs symmetries (up to canonical isomorphisms) and satisfy the braid group relations on the whole double Ringel–Hall algebra . This answers a question of Sevenhant and Van den Bergh [J. Algebra 221 (1999) 135–160].
Keywords :
Ringel–Hall algebra , Lusztigיs symmetry , Braid group relation
Journal title :
Journal of Algebra
Serial Year :
2002
Link To Document :
بازگشت