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The root system and the core of an extended affine Lie algebra

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Abstract.

Extended affine Lie algebras are higher nullity generalizations of finite dimensional simple Lie algebras and affine Kac Moody Lie algebras. In this paper we completely describe the structure of the core modulo its centre and the root system for extended affine Lie algebras of type \( B_l (l\ge 3) \), \( C_l (l \ge 2)\), F 4 and G 2 .

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Canada

    B.N. Allison

  2. Department of Mathematics and Statistics, York University, M3J 1P3, Toronto, Canada

    Y. Gao

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  1. B.N. Allison
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  2. Y. Gao
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Allison, B., Gao, Y. The root system and the core of an extended affine Lie algebra. Sel. math., New ser. 7, 149 (2001). https://doi.org/10.1007/PL00001400

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  • DOI: https://doi.org/10.1007/PL00001400

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