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arXiv · 1002.4701

Canonical bases and quantum coordinate ring

Bin Li·Hechun Zhang
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Abstract

Some filtrations of the tensor product of a highest weight module and a lowest weight module over quantum group $U_q(\mathfrak g)$ are constructed in \cite{LZ:2009} and one can use them to define some ideals of the modified quantized enveloping algebra. It is shown that the quotient algebras inherit canonical bases from the modified quantized enveloping algebra and are dual to the quantum coordinate ring defined by Kashiwara for symmetrizable Kac-Moody algebra $\mathfrak g$.

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Bin Li, Hechun Zhang. 2010-02-25. Canonical bases and quantum coordinate ring. https://arxiv.org/abs/1002.4701

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