Analysis shows conditions for unitarizability of a gll+1(Cq) module, suggesting methods for extending representation theory.
For the extended affine Lie algebra [Formula: see text], we give a sufficient and necessary condition in this article to guarantee that the [Formula: see text]-module [Formula: see text] constructed by using free field realizaion is unitarizable.
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CHEN et al. (2025) studied this question.
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