Invariant subspaces of nilpotent linear operators, I
From MaRDI portal
Publication:5459224
DOI10.1515/CRELLE.2008.001zbMath1145.16005arXivmath/0608666OpenAlexW2993472652MaRDI QIDQ5459224
Markus Schmidmeier, Claus Michael Ringel
Publication date: 25 April 2008
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608666
categories of modulesinvariant subspacesAuslander-Reiten quiverssubmodule categoriesrepresentation typescovering theorytubular familiestubular algebrasBirkhoff problemnilpotent linear operatorsKrull-Remak-Schmidt categories
Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Invariant subspaces of linear operators (47A15) Representations of associative Artinian rings (16G10)
Related Items
Exceptional modules over wild canonical algebras ⋮ Gorenstein homological aspects of monomorphism categories via Morita rings ⋮ Gorenstein projective bimodules via monomorphism categories and filtration categories ⋮ Injective objects of monomorphism categories. ⋮ Special precovering classes in comma categories ⋮ Algebras with irreducible module varieties. II: Two vertex case ⋮ A swiss cheese theorem for linear operators with two invariant subspaces ⋮ A relative silting theorem ⋮ Bimodule monomorphism categories and RSS equivalences via cotilting modules ⋮ Equivariant approach to weighted projective curves ⋮ Enumerating submodules invariant under an endomorphism ⋮ Separated monic representations. I: Gorenstein-projective modules ⋮ Recollements, comma categories and morphic enhancements ⋮ Monomorphism categories associated with symmetric groups and parity in finite groups. ⋮ RSS equivalences over a class of Morita rings ⋮ Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties ⋮ Quivers with relations for symmetrizable Cartan matrices. I: Foundations ⋮ Endomorphism category of an abelian category ⋮ Recollements and ladders for weighted projective lines ⋮ Geometric classification of monogenic subspaces and uniparametric linear control systems ⋮ Monic modules and semi-Gorenstein-projective modules ⋮ On algebras of finite Cohen-Macaulay type. ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ Perturbations of invariant subspaces of operators with Hilbert-Schmidt Hermitian components ⋮ The socle tableau as a dual version of the Littlewood–Richardson tableau ⋮ Hall polynomials via automorphisms of short exact sequences ⋮ Determination of some almost split sequences in morphism categories ⋮ Nilpotent category of monoidal category and tensor-hom adjunction ⋮ Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules ⋮ The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras ⋮ The homotopy category of monomorphisms between projective modules ⋮ Singularity categories of representations of algebras over local rings ⋮ From submodule categories to preprojective algebras. ⋮ Categories of exact sequences with projective middle terms ⋮ The ``0, 1-property of exceptional objects for nilpotent operators of degree 6 with one invariant subspace ⋮ Three results on Frobenius categories ⋮ Monomorphism categories, cotilting theory, and Gorenstein-projective modules. ⋮ Tilting bundles for weighted projective lines of weight type $(p,q)$ ⋮ Dimension vectors of indecomposable objects for nilpotent operators of degree 6 with one invariant subspace ⋮ Representation-finite Birkhoff type problems for nilpotent linear operators ⋮ Brauer-Thrall type theorems for submodule categories ⋮ From subcategories to the entire module categories ⋮ The entries in the LR-tableau ⋮ The Auslander-Reiten translation in submodule categories ⋮ Singularity categories of Gorenstein monomial algebras ⋮ Minuscule reverse plane partitions via quiver representations ⋮ Different exact structures on the monomorphism categories ⋮ Perturbed marked reduced forms of invariant subspaces ⋮ The boundary of the irreducible components for invariant subspace varieties ⋮ Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. ⋮ State canonical form for a class of uncontrollable linear systems ⋮ Separated monic representations II: Frobenius subcategories and RSS equivalences ⋮ The existence of Hall polynomials for \(x^2\)-bounded invariant subspaces of nilpotent linear operators ⋮ Recollements induced by monomorphism categories ⋮ Operations on arc diagrams and degenerations for invariant subspaces of linear operators ⋮ Recollements of Singularity Categories and Monomorphism Categories ⋮ Hammocks to visualize the support of finitely presented functors ⋮ Monomorphism Operator and Perpendicular Operator
Cites Work
This page was built for publication: Invariant subspaces of nilpotent linear operators, I
