Two terms tilting complexes and Ringel-Hall algebras

DOI10.1007/s12044-022-00709-zOpenAlexW4311649458MaRDI QIDQ2105904

Yong-Gang Hu

Publication date: 8 December 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-022-00709-z

zbMATH Keywords

tilting complexRingel-Hall algebrasilting complex\(\tau\)-tilting module

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Torsion theories, radicals (18E40) Representations of associative Artinian rings (16G10) Grothendieck groups (category-theoretic aspects) (18F30) Derived categories and associative algebras (16E35)

Cites Work

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• Hall algebras, hereditary algebras and quantum groups
• The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two.
• Coxeter Functors Without Diagrams
• TILTING FUNCTORS AND HALL ALGEBRAS
• PBW-bases of quantum groups.
• -tilting theory
• The representation invariants of 2-term silting complexes
• On \(t\)-structures and torsion theories induced by compact objects
• A silting theorem

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