Ringel–Hall Algebras of Quotient Algebras of Path Algebras

DOI10.1080/00927872.2012.655435zbMath1311.17007OpenAlexW2056421379MaRDI QIDQ2842300

Qing-Hua Chen

Publication date: 13 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.655435

zbMATH Keywords

path algebrasRingel-Hall algebrasgenerating relationsquotient algebras

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Monomial bases for quantum affine \(\mathfrak{sl}_n\)
• Fundamental relations in Ringel-Hall algebras.
• Hall algebras and quantum groups
• Universal PBW-bases of Hall-Ringel algebras and Hall polynomials
• Hall algebras, hereditary algebras and quantum groups
• Symmetric functions and the centre of the Ringel-Hall algebra of a cyclic quiver.
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Representation Theory of Artin Algebras I

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