Rational smoothness of varieties of representations for quivers of Dynkin type.

DOI10.5802/aif.2019zbMath1126.17013arXivmath/0305149OpenAlexW2951988192MaRDI QIDQ1890157

Ralf Schiffler, Philippe Caldero

Publication date: 20 December 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305149

zbMATH Keywords

singularitiesquantum groupsrepresentations of quiverscanonical basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

The bar automorphism in quantum groups and geometry of quiver representations ⋮ Rational smoothness of varieties of representations for quivers of type 𝐴 ⋮ Rational smoothness of varieties of quiver representations. ⋮ From triangulated categories to cluster algebras

Cites Work

• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Multiplicative properties of dual canonical bases of quantum groups
• Lie algebras generated by indecomposables
• Singular loci of Schubert varieties
• From elementary calculations to Hall polynomials.
• Hall algebras, hereditary algebras and quantum groups
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Local poincaré duality and non-singularity of schubert varieties
• Rational smoothness of varieties of representations for quivers of type 𝐴
• Degenerations for representations of tame quivers
• Introduction to quantum groups
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