The geometry of uniserial representations of finite-dimensional algebra. I
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Publication:1295493
DOI10.1016/S0022-4049(96)00184-3zbMath0951.16005arXiv1407.2384MaRDI QIDQ1295493
Publication date: 20 September 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.2384
finite dimensional algebraselliptic curveshereditary algebrasquiversrepresentationsuniserial modulespath algebrasLoewy lengthsuniserial genus
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 (17)
The eigenvector variety of a matrix pencil ⋮ On uniserial modules in the Auslander-Reiten quiver. ⋮ The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol ⋮ Zavadskij modules over cluster-tilted algebras of type \(\mathbb{A}\) ⋮ Varieties of uniserial representations IV. Kinship to geometric quotients ⋮ The isomorphism problem for uniserial modules over an arbitrary ring ⋮ Top-stable degenerations of finite dimensional representations. II. ⋮ The Auslander bijections: how morphisms are determined by modules ⋮ The geometry of uniserial representations of algebras. II: Alternate viewpoints and uniqueness ⋮ Squared cycles in monomial relations algebras. ⋮ Decomposing moduli of representations of finite-dimensional algebras ⋮ Generic representation theory of quivers with relations. ⋮ Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie 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
- Preprojective modules over Artin algebras
- Applications of contravariantly finite subcategories
- Approximating modules by modules of finite projective dimension
- 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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