Realization of simple Lie algebras via Hall algebras of tame hereditary algebras.

DOI10.2969/jmsj/1191334090zbMath1075.16008OpenAlexW2063134436MaRDI QIDQ1885107

Hideto Asashiba

Publication date: 28 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191334090

zbMATH Keywords

Kac-Moody algebrassimple Lie algebrasDynkin diagramstame hereditary algebrasHall algebrascategories of quiver representations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

A class of simple Lie algebras attached to unit forms ⋮ Domestic canonical algebras and simple Lie algebras. ⋮ Tubular algebras and affine Kac-Moody algebras. ⋮ A realization of quantum groups via product valued quivers

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