Multiplicative preprojective algebras of Dynkin quivers

DOI10.1016/j.jpaa.2022.107146zbMath1506.16018arXiv2104.08362OpenAlexW3156939535MaRDI QIDQ2161112

Daniel T. Kaplan

Publication date: 4 August 2022

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

Full work available at URL: https://arxiv.org/abs/2104.08362

zbMATH Keywords

Hochschild homologypreprojective algebraFrobenius structureGinzburg dg algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (2)

Multiplicative preprojective algebras are 2-Calabi-Yau ⋮ Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 1--7, 2022

Cites Work

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• Double Poisson algebras
• Geometry of Multiplicative Preprojective Algebra
• A relation between Hochschild homology and cohomology for Gorenstein rings
• Monodromy for systems of vector bundles and multiplicative preprojective algebras
• Homological mirror symmetry for Milnor fibers of simple singularities

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