On the composition subalgebras of Bridgeland’s Hall algebras

DOI10.1080/00927872.2016.1233229zbMath1393.16006OpenAlexW2528308472MaRDI QIDQ5274857

Haicheng Zhang

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233229

zbMATH Keywords

generating relationscyclic complexesBridgeland's Hall algebracomposition subalgebra

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Representations of associative Artinian rings (16G10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (2)

Bridgeland’s Hall algebras and Heisenberg doubles ⋮ Multiplicative properties of certain elements in Bridgeland Hall algebras

Cites Work

• A note on the equivalence of \(m\)-periodic derived categories
• Derived Hall algebras
• Hall algebras associated to triangulated categories
• Fundamental relations in Ringel-Hall algebras.
• Hall algebras and quantum groups
• Heisenberg doubles and derived categories
• Drinfeld double and Ringel-Green theory of Hall algebras
• Hall algebras, hereditary algebras and quantum groups
• Quantum groups via Hall algebras of complexes.
• The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two.
• Cyclic complexes, Hall polynomials and simple Lie algebras.

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