A specialization of prinjective Ringel-Hall algebra and the associated Lie algebra.

DOI10.1007/s10114-008-6542-4zbMath1216.16007OpenAlexW2152822592WikidataQ115385266 ScholiaQ115385266MaRDI QIDQ953231

Justyna Kosakowska

Publication date: 17 November 2008

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

Full work available at URL: https://doi.org/10.1007/s10114-008-6542-4

zbMATH Keywords

universal enveloping algebrassemisimple Lie algebrasRingel-Hall algebrasprinjective modulesposet representations

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Universal enveloping (super)algebras (17B35) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Prinjective Ringel-Hall algebras for posets of finite prinjective type. ⋮ On Borcherds type Lie algebras

Cites Work

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• Tame algebras and integral quadratic forms
• Prinjective Ringel-Hall algebras for posets of finite prinjective type.
• Hall algebras and quantum groups
• Posets of finite prinjective type and a class of orders
• Abelian groups and representations of finite partially ordered sets
• A reduction functor, tameness, and Tits form for a class of orders
• The Lie algebra associated to a unit form
• Prinjective Modules, Reflection Functors, Quadratic Forms, and Auslander-Reiten Sequences
• On tits form and prinjective representations of posets of finite prinjectivetype^*.
• Introduction to Lie Algebras and Representation Theory

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