On two Hall algebra approaches to odd periodic triangulated categories

DOI10.1007/s11425-016-9129-4zbMath1390.18027OpenAlexW2756323732MaRDI QIDQ1705741

Xueqing Chen, Jie Sheng, Fan Xu

Publication date: 16 March 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-9129-4

zbMATH Keywords

Hall algebraderived Hall algebraodd-periodic triangulated category

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items (2)

\(\imath\)Quantum groups of split type via derived Hall algebras ⋮ Preface

Cites Work

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• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Derived Hall algebras
• Hall algebras associated to triangulated categories
• Hall algebras and quantum groups
• Heisenberg doubles and derived categories
• Lie algebras generated by indecomposables
• Drinfeld double and Ringel-Green theory of Hall algebras
• Root categories and simple Lie algebras
• Triangulated categories and Kac-Moody algebras
• Chain complexes and stable categories
• Hall algebras, hereditary algebras and quantum groups
• Quantum groups via Hall algebras of complexes.
• Hall algebras of odd periodic triangulated categories.
• Remarks on Hall algebras of triangulated categories
• Canonical Bases Arising from Quantized Enveloping Algebras
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Higher algebraic K-theory: I
• Lie algebras determined by finite auslander-reiten quivers
• Semi-Derived and Derived Hall Algebras for Stable Categories
• Semicanonical bases and preprojective algebras II: A multiplication formula

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