On a Group Graded Version of BGG

DOI10.1080/00914030701409825zbMath1152.16032OpenAlexW2102527866MaRDI QIDQ5426301

Roberto Martínez-Villa, Edward Lee Green, Yuji Yoshino

Publication date: 12 November 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00914030701409825

zbMATH Keywords

path algebrascoveringsquadratic algebrasKoszul algebrasgroup-graded algebrasgraded projective modulesBernstein-Gelfand-Gelfand correspondencederived categories of finitely generated modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Cites Work

• Graded and Koszul categories
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Covering spaces in representation-theory
• Derived category of squarefree modules and local cohomology with monomial ideal support
• Koszul equivalences and dualities.
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Koszul Duality Patterns in Representation Theory

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