The hyperoctahedral quantum group

Teodor Banica; Julien Bichon; Benoit Collins

The hyperoctahedral quantum group

表示论 2019-02-27 v2

作者: Teodor Banica , Julien Bichon , Benoit Collins

摘要

We consider the hypercube in $\mathbb R^n$ , and show that its quantum symmetry group is a $q$ -deformation of $O_n$ at $q=-1$ . Then we consider the graph formed by $n$ segments, and show that its quantum symmetry group is free in some natural sense. This latter quantum group, denoted $H_n^+$ , enlarges Wang's series $S_n^+,O_n^+,U_n^+$ .

关键词

quantum groups deformation theory group theory

引用

@article{arxiv.math/0701859,
  title  = {The hyperoctahedral quantum group},
  author = {Teodor Banica and Julien Bichon and Benoit Collins},
  journal= {arXiv preprint arXiv:math/0701859},
  year   = {2019}
}

备注

32 pages

The hyperoctahedral quantum group

摘要

关键词

引用

备注

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