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Fermionic and Bosonic Representations of the Extended Affine Lie Algebra $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$

Published online by Cambridge University Press:  20 November 2018

Yun Gao
Yun Gao*
Affiliation:
Department of Mathematics and Statistics York University Toronto, Ontario M3J 1P3, email: ygao@yorku.ca
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Abstract

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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 $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$ of level (1, 0) (or (−1, 0)).

Keywords

17B6517B67
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 4 , 01 December 2002 , pp. 623 - 633
Copyright
Copyright © Canadian Mathematical Society 2002

References

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