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
Journal title
Journal of Algebra
Record number
695985
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