Tubular algebras and affine Kac-Moody algebras.

DOI10.1007/s11425-007-0020-9zbMath1127.17023OpenAlexW2091394690MaRDI QIDQ995682

Zhengxin Chen, Ya Nan Lin

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0020-9

zbMATH Keywords

modulesKac-Moody algebrasHall algebrasreal rootsaffine algebrastubular algebrascomposition Lie algebras

Mathematics Subject Classification ID

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

Related Items

A class of simple Lie algebras attached to unit forms

Cites Work

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• Hall polynomials for the representation-finite hereditary algebras
• Root categories and simple Lie algebras
• Triangulated categories and Kac-Moody algebras
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Realization of simple Lie algebras via Hall algebras of tame hereditary algebras.
• Elliptic Lie algebras and tubular algebras.
• Semi-Invariants of Quivers
• PBW-bases of quantum groups.