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Sept. 2001 On the defining relations of the simply-laced elliptic Lie algebras
Tadayoshi Takebayashi
Proc. Japan Acad. Ser. A Math. Sci. 77(7): 119-121 (Sept. 2001). DOI: 10.3792/pjaa.77.119

Abstract

We rewrite the defining relations [5] of the simply-laced elliptic Lie algebras in terms of the extended elliptic Cartan matrix by considering the extended elliptic diagram.

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Tadayoshi Takebayashi. "On the defining relations of the simply-laced elliptic Lie algebras." Proc. Japan Acad. Ser. A Math. Sci. 77 (7) 119 - 121, Sept. 2001. https://doi.org/10.3792/pjaa.77.119

Information

Published: Sept. 2001
First available in Project Euclid: 23 May 2006

zbMATH: 1013.17019
MathSciNet: MR1857287
Digital Object Identifier: 10.3792/pjaa.77.119

Subjects:
Primary: 17B10

Keywords: elliptic Cartan matrix , elliptic Lie algebra , Elliptic root system

Rights: Copyright © 2001 The Japan Academy

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Vol.77 • No. 7 • Sept. 2001
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