Published September 21, 2007 | Version v1
Journal article

Deformation of Lie derivative and μ-symmetries

Creators

  • 1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca Degli Abruzzi 24, I-10129 Torino (Italy)

Description

We introduce, in the spirit of Witten's gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of λ- and μ-symmetries, in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to λ- and μ-conservation laws

Additional details

Identifiers

DOI
10.1088/1751-8113/40/38/007;
PII
S1751-8113(07)50053-3;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
38
Journal Page Range
p. 11547-11559
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39012697
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONSERVATION LAWS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; SYMMETRY GROUPS