Flat matrix models for quantum permutation groups

被引：17
|
作者：
Banica, Teodor [1 ]
Nechita, Ion [2 ]
机构：
[1] Cergy Pontoise Univ, Dept Math, F-95000 Cergy Pontoise, France
[2] Univ Toulouse 3, Dept Theoret Phys, F-31062 Toulouse, France
来源：
ADVANCES IN APPLIED MATHEMATICS | 2017年 / 83卷
关键词：
Quantum permutation; Matrix model; INTEGRATION;
D O I：
10.1016/j.aam.2016.09.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the matrix models pi : C(S-N(+)) -> M-N(C(X)) which are flat, in the sense that the standard generators of C(S-N(+)) are mapped to rank 1 projections. Our first result is a generalization of the Pauli matrix construction at N = 4, using finite groups and 2-cocycles. Our second result is the construction of a universal representation of C(S-N(+)), inspired from the Sinkhorn algorithm, that we conjecture to be inner faithful. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：24 / 46
页数：23
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