Representations of solvable Lie groups and geometric quantization

被引：0

作者：

Zhao, Q

Xiao, L

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1999年 / 20卷 / 03期

关键词：

Li group; quantization; polarization; coadjoint orbit;

D O I：

10.1142/S0252959999000400

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Representations of solvable Lie groups are realized and classified by geometric quantization of coadjoint orbits through positive polarizations.

引用

页码：351 / 362

页数：12

共 50 条

[41] CONTINUOUS UNIT REPRESENTATIONS OF CERTAIN CONNECTIVE AND SIMPLY CONNECTIVE SOLVABLE LIE GROUPS
LEGAC, B
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (22): : 1547 - &
[42] Lie group representations and quantization
Aldaya, V
Guerrero, J
REPORTS ON MATHEMATICAL PHYSICS, 2001, 47 (02) : 213 - 240
[43] K-spherical representations for Gelfand pairs associated to solvable Lie groups
Kikuchi, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1997, 49 (03) : 469 - 486
[44] CONTINUOUS FAMILIES OF QUASI-REGULAR REPRESENTATIONS OF SOLVABLE LIE-GROUPS
SCHUETH, D
JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 134 (01) : 247 - 259
[45] Representations of filtered solvable Lie algebras
Panov, A. N.
SBORNIK MATHEMATICS, 2012, 203 (01) : 75 - 87
[46] GEOMETRIC-QUANTIZATION AND REPRESENTATIONS OF SEMISIMPLE LIE-GROUPS - SPIN (2,1) AND SPIN (2,2)
SITARAM, BR
TRIPATHY, KC
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (02) : 206 - 210
[47] Good representations and solvable groups
Edidin, D
Graham, W
MICHIGAN MATHEMATICAL JOURNAL, 2000, 48 : 203 - 213
[48] 1-COHOMOLOGY OF UNITARY REPRESENTATIONS OF SEMI-SIMPLE AND SOLVABLE LIE GROUPS
DELORME, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (10): : 499 - 501
[49] REPRESENTATIONS OF EXPONENTIAL SOLVABLE LIE-GROUPS INDUCED FROM MAXIMAL-SUBGROUPS
LIPSMAN, RL
MICHIGAN MATHEMATICAL JOURNAL, 1993, 40 (02) : 299 - 320
[50] GEOMETRIC-QUANTIZATION AND DERIVED FUNCTOR MODULES FOR SEMISIMPLE LIE-GROUPS
SCHMID, W
WOLF, JA
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 90 (01) : 48 - 112

← 1 2 3 4 5 →