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arXiv · 2306.12199

Stability of $\imath$canonical bases of locally finite type

Hideya Watanabe
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Abstract

We prove the stability conjecture of $\imath$canonical bases, which was raised by Huanchen Bao and Weiqiang Wang in 2016, for all locally finite types. To this end, we characterize the trivial module over the $\imath$quantum groups of such type at $q = \infty$. This result can be seen as a very restrictive version of the $\imath$crystal base theory for locally finite types.

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Hideya Watanabe. 2023-06-21. Stability of $\imath$canonical bases of locally finite type. https://arxiv.org/abs/2306.12199

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