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An inductive method to lift stable equivalences of Morita type to derived equival

Time:2015-05-26  Author:  ClickTimes:
TitleAn inductive method to lift stable equivalences of Morita type to derived equival
Speaker胡维 副教授 北京师范大学
Date/Time2015年6月2日(周二)下午4:00-5:00
Place六号楼二楼报告厅
Abstract
Brief Introduction to Speaker

摘要: Given a stable equivalence of Morita type F between two algebras A and B, we show that F lifts to a derived equivalence provided that certain restricted stable equivalence of Morita type F' between eAe and fBf lifts to a derived equivalence, where e and f are certain idempotents. As a consequence, all stable equivalences of Morita type between Frobenius-finite algebras(including all algebras of finite representation type, Auslander algebra, cluster-tilted algebra, etc.) lift to derived equivalences. This also gives us an inductive method to lift stable equivalences of Morita type to derived equivaelnces.