A numerical criterion for the generalized Koszul property.
type: Item
instance of: scholarly article
title: A numerical criterion for the generalized Koszul property.
zbMATH Open document ID: 1142.16017
author: Benoit Kriegk
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2007-06-04T00:00:00Z
review text: The main result of this paper (Theorem 3.2) is a generalization of a result which was proved by \textit{A. Beilinson, V. Ginzburg}, and \textit{W. Soergel} [in J. Am. Math. Soc. 9, No. 2, 473-527 (1996; Zbl 0864.17006)], and it is a numerical criterion for the \(N\)-Koszul property for connected \(\mathbb{N}\)-graded algebras.
Mathematics Subject Classification ID: 16S37
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 5161238
zbMATH Keywords: connected graded algebras
zbMATH Keywords: Koszul property
zbMATH Keywords: quadratic algebras
zbMATH Keywords: Hilbert series
zbMATH Keywords: Yoneda algebras
zbMATH Keywords: projective covers
reviewed by: Simion Sorin Breaz
MaRDI profile type: Publication
full work available at URL: j.crma.2007.02.014
OpenAlex ID: W2071495655
cites work: Koszul Duality Patterns in Representation Theory
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cites work: Homogeneous algebras, statistics and combinatorics
cites work: An algebraic extension of the MacMahon Master Theorem
cites work: Koszul algebras and the quantum MacMahon master theorem
cites work: Q5714460
DOI: 10.1016/J.CRMA.2007.02.014
description: scientific article; zbMATH DE number 5161238