2003/01/16 by Roland Berger, Berger, Roland · 2 citations
Mathematics · #16S37 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.KT #math.QA #math.RA #msc:16S37
paper · pdf · doi:10.48550/arxiv.math/0301172
Corrigendum to Koszulity for nonquadratic algebras. J. Algebra 239, No.2, 705-734 (2001); 2 pages
arxiv created 2003/01/16 · openalex publication_date 2003/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been shown recently, in a joint work with Michel Dubois-Violette and Marc Wambst (see math.QA/0203035), that Koszul property of N-homogeneous algebras (as defined in the original paper) becomes natural in a N-complex setting. A basic question is to define the differential of the bimodule Koszul complex of an N-homogeneous algebra, e.g., for computing its Hochschild homology. The differential defined here uses N-complexes. That puts right the wrong differential presented in the original paper in a 2-complex setting. Actually, as we shall see, it is impossible to avoid N-complexes in defining the differential, whereas the bimodule Koszul complex is a 2-complex.