关于线性群的非阿贝尔张量平方的一个注记

中文摘要 AI 辅助

我们证明存在一个有限生成的线性群，其非阿贝尔张量平方不是线性的。另一方面，辫群 $B_n$（$n>3$）的非阿贝尔张量平方是线性的。

英文摘要

We show that there exists a finitely generated linear group whose non-abelian tensor square is not linear. On the other hand, the non-abelian tensor square of the braid group $B_n$, $n>3$, is linear.

发表机构

• Faculty of Mathematics and Physics, University of Ljubljana（卢布尔雅那大学数学物理学院）
• Institute of Mathematics, Physics and Mechanics（数学、物理与力学研究所）

机构由 AI 辅助整理，请以论文原文为准。

补充信息

备注

The main example and some of the initial ideas were generated with the assistance of AI. The arguments were subsequently checked and substantially simplified by the author. Whether the resulting note will ultimately be submitted for publication remains, at present, an entirely human uncertainty