The geometry of uniserial representations of algebras. II: Alternate viewpoints and uniqueness

DOI10.1016/S0022-4049(00)00031-1zbMath0982.16010arXiv1407.2293MaRDI QIDQ5928471

Birge Huisgen-Zimmermann, Klaus Bongartz

Publication date: 17 December 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2293

zbMATH Keywords

finite dimensional algebrasGrassmannianshereditary algebrasquiversrepresentationssemisimple modulesunipotent groupsuniserial modules

Mathematics Subject Classification ID

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

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Tensor products and intertwining operators for uniserial representations of the Lie algebra \(\mathfrak{sl}(2) \ltimes V(m)\) ⋮ On uniserial modules in the Auslander-Reiten quiver. ⋮ Orbit closures and rational surfaces ⋮ The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol ⋮ Varieties of uniserial representations IV. Kinship to geometric quotients ⋮ Top-stable degenerations of finite dimensional representations. II. ⋮ Squared cycles in monomial relations algebras. ⋮ Generic representation theory of quivers with relations. ⋮ The geometry of uniserial representations of finite-dimensional algebra. I ⋮ Presentations of Monomial Algebras and Uniserial Modules ⋮ Classifying representations by way of Grassmannians

Cites Work

• The geometry of uniserial representations of finite-dimensional algebra. I
• On degenerations and extensions of finite dimensional modules
• Varieties of uniserial representations IV. Kinship to geometric quotients
• Optimal filtrations on representations of finite dimensional algebras
• The geometry of uniserial representations of finite dimensional algebras. III: Finite uniserial type