晶体交换子与Drinfeld的么正化R矩阵
The crystal commutor and Drinfeld's unitarized R-matrix
摘要：
Drinfeld对任意量子群U_q（g）定义了一个酉化R-矩阵。这给出了U_q（g）表示范畴的一个交换子，使之成为一个上边界范畴. Henriques和Kamnitzer定义了另一个交换子，它也给了U_q（g）表示上边界范畴的结构.我们表明，一个特殊的情况下，Henriques和Kamnitzer的建设同意德林费尔德的交换。然后，我们描述的作用Drinfeld的交换对张量积的两个晶体基地，并解释的关系，晶体交换。
英文摘要：
Drinfeld defined a unitarized R-matrix for any quantum group U_q(g). This gives a commutor for the category of U_q(g) representations, making it into a coboundary category. Henriques and Kamnitzer defined another commutor which also gives U_q(g) representations the structure of a coboundary category. We show that a particular case of Henriques and Kamnitzer's construction agrees with Drinfeld's commutor. We then describe the action of Drinfeld's commutor on a tensor product of two crystal bases, and explain the relation to the crystal commutor.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
