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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 1, Pages 45 - 68 (June 2007)

DEFINING RELATIONS OF THE SIMPLY-LACED 3-EXTENDED AFFINE LIE ALGEBRAS

Tadayoshi Takebayashi (Japan)

Abstract:

We give the defining relations of the simply-laced 3-extended affine Lie algebras in terms of the generators associated to 3-extended affine diagrams.

Keywords and phrases:

3-extended affine Lie algebra, simply-laced.

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