Fermionic and Bosonic Representations of the Extended Affine Lie Algebra $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 623-633
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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)).
Gao, Yun. Fermionic and Bosonic Representations of the Extended Affine Lie Algebra $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 623-633. doi: 10.4153/CMB-2002-057-3
@article{10_4153_CMB_2002_057_3,
author = {Gao, Yun},
title = {Fermionic and {Bosonic} {Representations} of the {Extended} {Affine} {Lie} {Algebra} $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$},
journal = {Canadian mathematical bulletin},
pages = {623--633},
year = {2002},
volume = {45},
number = {4},
doi = {10.4153/CMB-2002-057-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-057-3/}
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