Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$

Details Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$ Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$

2006-01-18

arxiv.org/abs/math/0601425v1

Mathematics

Quantum Algebra

35pages

Scientific paper

We present modules for the extended affine Lie algebra
$\widetilde{\frak{gl}_{3}(\bc_q)}$ by using the idea of free fields. A
necessary and sufficient condition for the modules being unitary is given.

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