Noncentral extensions as anomalies in classical dynamical systems

被引：0

作者：

Solomin, JE ^{[1
]}

Zuccalli, M

机构：

[1] Natl Univ La Plata, Fac Ciencias Exactas, Dept Matemat, RA-1900 La Plata, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2003年 / 10卷 / 01期

关键词：

D O I：

10.2991/jnmp.2003.10.1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two cocycle is associated to any action of a Lie group on a symplectic manifold. This allows to enlarge the concept of anomaly in classical dynamical systems considered by F Toppan in [J. Nonlinear Math. Phys. 8, Nr. 3 (2001), 518-533] so as to encompass some extensions of Lie algebras related to noncanonical actions.

引用

页码：1 / 9

页数：9

共 50 条

[41] Markov extensions for multi-dimensional dynamical systems
Jérôme Buzzi
Israel Journal of Mathematics, 1999, 112 : 357 - 380
[42] COMPACT ABELIAN GROUP EXTENSIONS OF DISCRETE DYNAMICAL SYSTEMS
PARRY, W
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1969, 13 (02): : 95 - &
[43] Extensions of classical methods to uncertain systems: An educational perspective
Tan, N
Atherton, DP
ADVANCES IN CONTROL EDUCATION 2000, 2001, : 305 - 310
[44] THEORY OF CLASSICAL SYSTEMS OF INTERACTING PARTICLES OBEYING A NONCENTRAL INTERACTION LAW .1.
GLAUBERMAN, AE
SOVIET PHYSICS JETP-USSR, 1957, 4 (02): : 169 - 173
[45] Toward a synthesis of dynamical systems and classical computation
van der Velde, F
de Kamps, M
BEHAVIORAL AND BRAIN SCIENCES, 1998, 21 (05) : 652 - +
[46] Quantum dynamical entropies for classical stochastic systems
Fannes, M
Haegeman, B
REPORTS ON MATHEMATICAL PHYSICS, 2003, 52 (01) : 151 - 165
[47] Dynamical semigroups for interacting quantum and classical systems
Olkiewicz, R
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (03) : 1300 - 1316
[48] Complete Integrability of Quantum and Classical Dynamical Systems
Volovich, Igor V.
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2019, 11 (04) : 328 - 334
[49] On Supersymmetric Nonlinear a Models and Classical Dynamical Systems
Int J Mod Phys A, 6 (1101):
[50] Complete Integrability of Quantum and Classical Dynamical Systems
Igor V. Volovich
p-Adic Numbers, Ultrametric Analysis and Applications, 2019, 11 : 328 - 334

← 1 2 3 4 5 →