Hall algebras associated to complexes of fixed size

DOI10.1007/s10114-022-1057-yOpenAlexW4210433344MaRDI QIDQ2671552

Haicheng Zhang

Publication date: 3 June 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02400

zbMATH Keywords

derived Hall algebraBridgeland Hall algebracomplex of fixed size

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derived Hall algebras
• Hall algebras associated to triangulated categories
• Hall algebras and quantum groups
• Lie algebras generated by indecomposables
• Some Hall polynomials for representation-finite trivial extension algebras
• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Modified Ringel-Hall algebras, Green's formula and derived Hall algebras
• Almost split sequences for complexes of fixed size.
• Quantum groups via Hall algebras of complexes.
• Acyclic quantum cluster algebras via Hall algebras of morphisms
• On the type of a category of complexes of fixed size and the strong global dimension
• On sectional paths in a category of complexes of fixed size
• Quantum cluster algebras.
• Cyclic complexes, Hall polynomials and simple Lie algebras.
• Exact categories
• Cluster algebras I: Foundations
• The Category of Morphisms Between Projective Modules
• Bridgeland’s Hall algebras and Heisenberg doubles
• Semi-Derived and Derived Hall Algebras for Stable Categories