Varieties of uniserial representations IV. Kinship to geometric quotients

DOI10.1090/S0002-9947-01-02712-XzbMath1005.16012arXiv1407.2296MaRDI QIDQ2701697

Birge Huisgen-Zimmermann, Klaus Bongartz

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2296

zbMATH Keywords

finite-dimensional algebrasGrassmanniansquiverssimple modulesmultiplicitiesuniserial representationsgeometric quotients

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (16)

Closures in varieties of representations and irreducible components ⋮ The eigenvector variety of a matrix pencil ⋮ On uniserial modules in the Auslander-Reiten quiver. ⋮ Orbit closures and rational surfaces ⋮ The isomorphism problem for uniserial modules over an arbitrary ring ⋮ The Auslander bijections: how morphisms are determined by modules ⋮ The geometry of uniserial representations of algebras. II: Alternate viewpoints and uniqueness ⋮ The geometry of finite dimensional algebras with vanishing radical square ⋮ Squared cycles in monomial relations algebras. ⋮ Generic representation theory of quivers with relations. ⋮ Irreducible components of varieties of representations: the local case ⋮ Classification of finite dimensional uniserial representations of conformal Galilei algebras ⋮ Presentations of Monomial Algebras and Uniserial Modules ⋮ Classifying representations by way of Grassmannians ⋮ Optimal filtrations on representations of finite dimensional algebras ⋮ On quiver Grassmannians and orbit closures for gen-finite modules

Cites Work

• Gauss elimination and the greatest common direct summand of two finite dimensional modules
• The geometry of uniserial representations of finite-dimensional algebra. I
• A note on algebras of finite uniserial type
• On degenerations and extensions of finite dimensional modules
• Questions of rationality for solvable algebraic groups over non-perfect fields
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Optimal filtrations on representations of finite dimensional algebras
• The geometry of uniserial representations of finite dimensional algebras. III: Finite uniserial type
• The geometry of uniserial representations of algebras. II: Alternate viewpoints and uniqueness
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