Quiver Grassmannians of Extended Dynkin type 𝐷 Part 1: Schubert Systems and Decompositions Into Affine Spaces
DOI10.1090/memo/1258zbMath1462.13001arXiv1507.00392OpenAlexW2988774325MaRDI QIDQ5213184
Thorsten Weist, Oliver Lorscheid
Publication date: 31 January 2020
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.00392
Combinatorial aspects of representation theory (05E10) Homogeneous spaces and generalizations (14M17) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Grassmannians, Schubert varieties, flag manifolds (14M15) Representations of quivers and partially ordered sets (16G20) Classical problems, Schubert calculus (14N15) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Topological properties in algebraic geometry (14F45) Cluster algebras (13F60)
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Cites Work
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- On Schubert decompositions of quiver Grassmannians
- Geometry of quiver Grassmannians of Kronecker type and applications to cluster algebras
- Skew-symmetric cluster algebras of finite mutation type
- Schubert decompositions for quiver Grassmannians of tree modules
- Positivity for cluster algebras from surfaces
- Generic variables in acyclic cluster algebras
- Quiver Grassmannians associated with string modules.
- On the quiver Grassmannian in the acyclic case
- Cluster characters for 2-Calabi-Yau triangulated categories.
- Transverse quiver Grassmannians and bases in affine cluster algebras.
- Indecomposable modules for domestic canonical algebras.
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Quivers with potentials and their representations. I: Mutations.
- Cluster algebras. II: Finite type classification
- Plücker relations for quiver Grassmannians
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Euler characteristics of quiver Grassmannians and Ringel-Hall algebras of string algebras.
- Factorial cluster algebras
- A homological interpretation of the transverse quiver Grassmannians
- Cluster algebras as Hall algebras of quiver representations.
- Cluster algebras I: Foundations
- Atomic bases of cluster algebras of types A and Ã
- POSITIVITY FOR REGULAR CLUSTER CHARACTERS IN ACYCLIC CLUSTER ALGEBRAS
- Cluster algebras, quiver representations and triangulated categories
- Generic Cluster Characters
- On Cluster Algebras Arising from Unpunctured Surfaces
- Acyclic quivers of finite mutation type
- Cluster algebras IV: Coefficients
- From triangulated categories to cluster algebras II
- Quivers with potentials and their representations II: Applications to cluster algebras
- General Representations of Quivers
- Indecomposable representations of graphs and algebras
- Bases for cluster algebras from surfaces
- Cluster categories for marked surfaces: punctured case