Functions and Analysis

    

Quantum Permutations and Quantum Reflections

Authors: Teo Banica

The permutation group $S_N$ has a quantum analogue $S_N^+$, which is infinite at $N\geq4$. We review the known facts regarding $S_N^+$, and its versions $S_F^+$, with $F$ being a finite quantum space. We discuss then the structure of the closed subgroups $G\subset S_N^+$ and $G\subset S_F^+$, with particular attention to the quantum reflection groups.

Comments: 300 Pages.

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Submission history

[v1] 2020-09-05 19:36:22
[v2] 2021-08-12 21:02:18

Unique-IP document downloads: 646 times

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