Gröbner-Shirshov basis of derived Hall algebra of type \(A_n\)

DOI10.1007/s10114-020-9547-2zbMath1468.16062OpenAlexW3046480857MaRDI QIDQ2199111

Abdukadir Obul, Zhe He

Publication date: 16 September 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9547-2

zbMATH Keywords

Auslander-Reiten quiverindecomposable objectsderived Hall algebraskew commutator relations

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Computational aspects of associative rings (general theory) (16Z05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gröbner-Shirshov bases for quantum enveloping algebras
• Derived Hall algebras
• A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
• Hall algebras associated to triangulated categories
• AR quivers, exceptional sequences and algorithms in derived Hall algebras
• Hall algebras and quantum groups
• The diamond lemma for ring theory
• Quantum groups via Hall algebras of complexes.
• Skew-commutator relations and Gröbner-Shirshov basis of quantum group of type \(F_4\)
• Exceptional sequences and Drinfeld double Hall algebras
• Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\)
• Bridgeland’s Hall algebras and Heisenberg doubles
• A note on Bridgeland Hall algebras
• PBW-bases of quantum groups.
• Some New Results on Gröbner-Shirshov Bases