On Degenerate Ringel-Hall Algebras of Types A and G2

DOI10.1142/S1005386714000054zbMath1362.17027MaRDI QIDQ5396028

Zhonghua Zhao, Li-Juan Fan

Publication date: 5 February 2014

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

zbMATH Keywords

degenerate Ringel-Hall algebrasGröbner-Shirshov basesgeneric extension monoid algebras

Mathematics Subject Classification ID

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

Cites Work

• Presenting degenerate Ringel-Hall algebras of cyclic quivers
• Hall algebras and quantum groups
• The diamond lemma for ring theory
• On algebras of finite representation type
• Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
• On degenerations and extensions of finite dimensional modules
• Presenting degenerate Ringel-Hall algebras of type \(B\)
• Generic extensions and multiplicative bases of quantum groups at 𝐪=0
• The Composition Algebra of a Cyclic Quiver
• Generic Extensions and Canonical Bases for Cyclic Quivers
• Frobenius morphisms and representations of algebras
• Feigin's map and monomial bases for quantized enveloping algebras

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