Bridgeland’s Hall algebras and Heisenberg doubles

DOI10.1142/S0219498818501049zbMath1391.16016arXiv1705.03991MaRDI QIDQ4563575

Haicheng Zhang

Publication date: 1 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03991

zbMATH Keywords

Heisenberg double\(m\)-periodic lattice algebraBridgeland's Hall algebra

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)

Related Items (5)

Hall algebras associated to complexes of fixed size ⋮ Gröbner-Shirshov basis of derived Hall algebra of type \(A_n\) ⋮ Toën's formula and Green's formula ⋮ Modified Ringel-Hall algebras, naive lattice algebras and lattice algebras ⋮ Drinfeld doubles via derived Hall algebras and Bridgeland's Hall algebras

Cites Work

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• A note on Bridgeland's Hall algebra of two-periodic complexes
• Derived Hall algebras
• Hall algebras associated to triangulated categories
• 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.
• Cyclic complexes, Hall polynomials and simple Lie algebras.
• Derived Hall Algebras and Lattice Algebras
• On the composition subalgebras of Bridgeland’s Hall algebras

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