Six types of E-functions of the Lie groups O(5) and G(2)

被引:5
作者
Hakova, Lenka [1 ]
Hrivnak, Jiri [1 ,2 ]
Patera, Jiri [1 ,3 ]
机构
[1] Univ Montreal, Ctr Rech Math & Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Phys, CR-11519 Prague, Czech Republic
[3] MIND Res Inst, Santa Ana, CA 92704 USA
基金
加拿大自然科学与工程研究理事会;
关键词
FINITE-ORDER; DISCRETE; ELEMENTS;
D O I
10.1088/1751-8113/45/12/125201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
New families of E-functions are described in the context of the compact simple Lie groups O(5) and G(2). These functions of two real variables generalize the common exponential functions and for each group, only one family is currently found in the literature. All the families are fully characterized; their most important properties are described, namely their continuous and discrete orthogonalities and decompositions of their products.
引用
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页数:25
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