Fundamental relations in Ringel-Hall algebras.

DOI10.1016/j.jalgebra.2008.04.010zbMath1160.16007OpenAlexW2072707303MaRDI QIDQ949590

Bangming Deng, Jiangrong Chen

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.010

zbMATH Keywords

Ringel-Hall algebrasfundamental relationsquantum Serre relations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20)

Related Items (5)

Bridgeland's Hall algebras of tilted algebras and Lusztig's symmetries ⋮ Applications of spherical twist functors to Lie algebras associated to root categories of preprojective algebras ⋮ On root categories of finite-dimensional algebras ⋮ Ringel–Hall Algebras of Quotient Algebras of Path Algebras ⋮ On the composition subalgebras of Bridgeland’s Hall algebras

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• Triangulated categories and Kac-Moody algebras
• Hall algebras, hereditary algebras and quantum groups
• Canonical Bases Arising from Quantized Enveloping Algebras
• Frobenius morphisms and representations of algebras
• Introduction to quantum groups

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