The Orthogonal Weingarten Formula in Compact Form

被引：8

作者：

Banica, Teodor ^{[1
]}

机构：

[1] Cergy Pontoise Univ, Dept Math, F-95302 Cergy Pontoise, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2010年 / 91卷 / 02期

关键词：

orthogonal group; Weingarten function; INTEGRATION; ALGEBRAS; UNITARY;

D O I：

10.1007/s11005-009-0363-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a compact formulation of the orthogonal Weingarten formula, with the traditional quantity I (i(1),..., i(2k) : j(1),..., j(2k)) = integral(On) ui(1)j(1)...u(i2kj2k) du replaced by the more advanced quantity I (a) = integral(On) Pi(aij)(uij) du, depending on a matrix of exponents a is an element of M(n)(N). Among consequences, we establish a number of basic facts regarding the integrals I (a): vanishing conditions, possible poles, asymptotic behavior.

引用

页码：105 / 118

页数：14

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