Lie algebras determined by finite auslander-reiten quivers

DOI10.1080/00927879808826306zbMath0913.16009OpenAlexW2073843267MaRDI QIDQ4212540

Liangang Peng

Publication date: 8 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826306

zbMATH Keywords

Lie algebrasuniversal coveringsvarieties of representationsEuler-Poincaré characteristicHall algebrascategories of representationsfinite Auslander-Reiten quivers

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

Generalized Kac–Moody Lie Algebras and Product Quivers ⋮ On two Hall algebra approaches to odd periodic triangulated categories ⋮ Root vectors arising from Auslander-Reiten quivers ⋮ DEGENERATE RINGEL–HALL ALGEBRAS OF FINITE CONNECTED VALUED AUSLANDER–REITEN QUIVERS ⋮ The elements in crystal bases corresponding to exceptional modules ⋮ Triangular decomposition of tame non-simply laced composition algebras ⋮ Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula ⋮ Modified Ringel-Hall algebras, naive lattice algebras and lattice algebras ⋮ Remarks on Hall algebras of triangulated categories

Cites Work

• Covering spaces in representation-theory
• Lie algebras generated by indecomposables
• Lie algebras and coverings
• Some Hall polynomials for representation-finite trivial extension algebras

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