On equivalences of bernstein-gelfand-gelfand, beilinson and happel

DOI10.1080/00927879208824477zbMath0791.16010OpenAlexW2038671802MaRDI QIDQ4030325

Hagen Meltzer, Piotr Dowbor

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824477

zbMATH Keywords

trivial extensionstable categoryderived category of coherent sheavesexterior algebrasendofunctorsprojective \(n\)-spaceleft derived functorequivalence functor\(\mathbb{Z}\)-graded finite dimensional modulesisomorphism of functorslower triangular matrix algebraminimal injective cogenerator bimodule

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items (3)

On a deformation theory of finite dimensional modules over repetitive algebras ⋮ Generalized Bernstein-Gelfand-Gelfand functors ⋮ Graded self-injective algebras ``are trivial extensions.

Cites Work

• On the derived category of a finite-dimensional algebra
• Tilting sheaves in representation theory of algebras
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• Covering spaces in representation-theory

This page was built for publication: On equivalences of bernstein-gelfand-gelfand, beilinson and happel