Higher relation extension

IBRAHIM ASSEM, MARÍA ANDREA GATICA Y RALF SCHIFFLER

Sherbrooke

Otro; Colloquium of Surfaces and Representations; 2010

Université de Sherbrooke

Given a finite dimensional algebra C (over an algebraically closed field)of finite global dimension, we define its higher relaion extension Gas (C). These algebras are a generalization of the relation extension algebras which were defined by I. Assem, T. Brustle and R. Schiffler in 2006.The objetive of this talk is to descrbe the higher relation extension algebra of a string algebra. In particular, we give a construction of the bound quiver of its relation extension.