In this paper, we adapt the procedure of the Long-Moody procedure to construct linear representations of welded braid groups. We exhibit the natural setting in this context and compute the first examples of representations we obtain thanks to this method. We take this way also the opportunity to review the few known linear representations of welded braid groups.

中文翻译：

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关于焊接编织组表示的注释

在本文中，我们采用 Long-Moody 程序的程序来构建焊接编织组的线性表示。我们在这种情况下展示自然环境，并计算我们通过这种方法获得的第一个表示示例。我们也借此机会回顾了焊接编织组的少数已知线性表示。