Hermitian representations of the extended affine Lie algebra

• Autores: Yung Gao, Ziting Zeng
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 207, Nº 1, 2006, págs. 244-265
• Idioma: inglés
• DOI: 10.1016/j.aim.2005.11.012
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• Resumen

  • We use the idea of free fields to obtain highest weight representations for the extended affine Lie algebra coordinatized by the quantum torus and go on to construct a contravariant hermitian form. We further give a necessary and sufficient condition such that the contravariant hermitian form is positive definite.