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Fermionic and Bosonic Representations of the Extended Affine Lie Algebra $\widetilde{\mathfrak{gl}_N} (\mathbb{C}_q)$

  Published:2002-12-01
 Printed: Dec 2002
  • Yun Gao
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Abstract

We construct a class of fermions (or bosons) by using a Clifford (or Weyl) algebra to get two families of irreducible representations for the extended affine Lie algebra $\widetilde{\mathfrak{gl}_N (\mathbb{C}_q)}$ of level $(1,0)$ (or $(-1,0)$).
MSC Classifications: 17B65, 17B67 show english descriptions Infinite-dimensional Lie (super)algebras [See also 22E65]
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
17B65 - Infinite-dimensional Lie (super)algebras [See also 22E65]
17B67 - Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
 

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