Branching rules for unitary and symplectic matrices

被引：3

作者：

Sharma, Uday Bhaskar ^{[1
]}

Singh, Anupam ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res IISER Pune, Dr Homi Bhabha Rd Pashan, Pune 411008, Maharashtra, India

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 07期

关键词：

Branching rules; commuting tuples of matrices; generating functions; similarity classes; symplectic group; unitary group; COMMUTING MATRICES; SIMILARITY CLASSES; CONJUGACY CLASSES; FINITE; PROBABILITY; PAIRS;

D O I：

10.1080/00927872.2020.1726366

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the enumeration of simultaneous conjugacy classes of tuples of commuting unitary matrices and of commuting symplectic matrices over a finite field of odd size. For any given conjugacy class, the orbits for the action of its centralizer group on itself by conjugation (that is, the conjugacy classes within the centralizer group) are called branches. We determine the branching rules for the unitary groups , and for the symplectic groups Sp2(F-q),Sp(4)(F-q). Communicated by Peter Sin

引用

页码：2958 / 2985

页数：28

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