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

Hideto ASASHIBA

doi:10.2969/jmsj/1191334090

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July, 2004 Realization of simple Lie algebras via Hall algebras of tame hereditary algebras

Hideto ASASHIBA

J. Math. Soc. Japan 56(3): 889-905 (July, 2004). DOI: 10.2969/jmsj/1191334090

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Abstract

We realize simple complex Lie algebras as quotient Lie algebras defined via Hall algebras of tame hereditary algebras.

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Hideto ASASHIBA. "Realization of simple Lie algebras via Hall algebras of tame hereditary algebras." J. Math. Soc. Japan 56 (3) 889 - 905, July, 2004. https://doi.org/10.2969/jmsj/1191334090

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Published: July, 2004

First available in Project Euclid: 2 October 2007

zbMATH: 1075.16008

MathSciNet: MR2071677

Digital Object Identifier: 10.2969/jmsj/1191334090

Subjects:

Primary: 16G20

Secondary: 17B20, 17B60

Keywords: Hall algebras, quivers, Simple Lie algebras

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J. Math. Soc. Japan

Vol.56 • No. 3 • July, 2004

Mathematical Society of Japan

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Hideto ASASHIBA "Realization of simple Lie algebras via Hall algebras of tame hereditary algebras," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 56(3), 889-905, (July, 2004)

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