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arXiv · 1312.3207

Positive representations, multiplier Hopf algebra, and continuous canonical basis

Ivan Chi-Ho Ip
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Abstract

We introduce the language of multiplier Hopf algebra in the context of positive representations of split real quantum groups, and discuss its applications with a continuous version of Lusztig-Kashiwara's canonical basis, which may provide a key to prove the closure of the positive representations under tensor products, and harmonic analysis of quantized algebra of functions in the sense of locally compact quantum groups.

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Ivan Chi-Ho Ip. 2013-12-11. Positive representations, multiplier Hopf algebra, and continuous canonical basis. https://arxiv.org/abs/1312.3207

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