On quantizing nonnilpotent coadjoint orbits of semisimple Lie groups

被引：0

作者：

Gotay, MJ ^{[1
]}

机构：

[1] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2002年 / 62卷 / 01期

基金：

美国国家科学基金会;

关键词：

Poisson algebras; quantization; semisimple Lie groups;

D O I：

10.1023/A:1021697031070

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that there is no consistent polynomial quantization of the coordinate ring of a nonnilpotent coadjoint orbit of a semisimple Lie group.

引用

页码：47 / 50

页数：4

共 50 条

[41] Entropy of stationary measures and bounded tangential de-Rham cohomology of semisimple Lie group actions
Nevo, A
Zimmer, RJ
GEOMETRIAE DEDICATA, 2005, 115 (01) : 181 - 199
[42] Entropy of Stationary Measures and Bounded Tangential de-Rham Cohomology of Semisimple Lie Group Actions
Amos Nevo
Robert J. Zimmer
Geometriae Dedicata, 2005, 115 : 181 - 199
[43] Maximal semigroups in semi-simple Lie groups
Martin, LABS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (12) : 5165 - 5184
[44] A Survey on Weyl Calculus for Representations of Nilpotent Lie Groups
Beltita, I.
Beltita, D.
GEOMETRIC METHODS IN PHYSICS, 2009, 1191 : 7 - 20
[45] Tensor products of complementary series of rank one Lie groups
ZHANG GenKai
Science China(Mathematics), 2017, 60 (11) : 2337 - 2348
[46] Tensor products of complementary series of rank one Lie groups
GenKai Zhang
Science China Mathematics, 2017, 60 : 2337 - 2348
[47] Characteristic functions of semigroups in semi-simple Lie groups
San Martin, Luiz A. B.
Santos, Laercio J.
FORUM MATHEMATICUM, 2019, 31 (04) : 815 - 842
[48] Tensor products of complementary series of rank one Lie groups
Zhang GenKai
SCIENCE CHINA-MATHEMATICS, 2017, 60 (11) : 2337 - 2348
[49] Biquantization techniques for computing characters of differential operators on Lie groups
Batakidis, Panagiotis
COMPTES RENDUS MATHEMATIQUE, 2011, 349 (5-6) : 247 - 250
[50] Poisson spaces for proper semigroups of semi-simple lie groups
Lopez, Jorge N.
Ruffino, Paulo R. C.
Martin, Luiz A. B. San
STOCHASTICS AND DYNAMICS, 2007, 7 (03) : 273 - 297

← 1 2 3 4 5 →