Oscillatory integral formulae for left-invariant star products on a class of Lie groups

被引：14

作者：

Bieliavsky, P ^{[1
]}

Massar, M ^{[1
]}

机构：

[1] Free Univ Brussels, B-1050 Brussels, Belgium

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2001年 / 58卷 / 02期

关键词：

deformation quantization; strict quantization; invariant star products;

D O I：

10.1023/A:1013318508043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use star representation geometric methods to obtain explicit oscillatory integral formulae for strongly invariant star products on Iwasawa subgroups AN of SU(1,n).

引用

页码：115 / 128

页数：14

共 15 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES
BAYEN, F
FLATO, M
FRONSDAL, C
LICHNEROWICZ, A
STERNHEIMER, D
[J]. ANNALS OF PHYSICS, 1978, 111 (01) : 61 - 110
[2] Semisimple symplectic symmetric spaces
Bieliavsky, P
[J]. GEOMETRIAE DEDICATA, 1998, 73 (03) : 245 - 273
[3] BIELIAVSKY P, MATHQA0010004
[4] CATTANEO AS, MATHQA9902090
[5] Fronsdal C., 1979, Reports on Mathematical Physics, V15, P111, DOI 10.1016/0034-4877(79)90054-5
[6] Hansen F., 1984, Reports on Mathematical Physics, V19, P361, DOI 10.1016/0034-4877(84)90008-9
[7] Helgason S., 1978, PURE APPL MATH, V80
[8] ON AFFINE SYMMETRIC SPACES
KOH, SS
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 119 (02) : 291 - &
[9] LICHNEROWICZ A, 1988, CR ACAD SCI I-MATH, V306, P133
[10] ON THE SYMPLECTIC STRUCTURE OF COADJOINT ORBITS OF (SOLVABLE) LIE-GROUPS AND APPLICATIONS .1.
PEDERSEN, NV
[J]. MATHEMATISCHE ANNALEN, 1988, 281 (04) : 633 - 669

← 1 2 →