Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Juha Pohjanpelto"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 077 (2009)
We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from both a theoretical and practi
Externí odkaz:
https://doaj.org/article/8a81702f1b27497ba5e15f222e6d0fdc
Autor:
Stephen C. Anco, Juha Pohjanpelto
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 004 (2008)
A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin s ≥ 1/2 is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral symmetries of
Externí odkaz:
https://doaj.org/article/287c10905436448093a56da5994766d6
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 27:1571-1586
The method of group foliation can be used to construct solutions to a system of partial differential equations that, as opposed to Lie's method of symmetry reduction, are not invariant under any symmetry of the equations. The classical approach is ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27a85b6b65b46d0974b39287fc1479d3
https://doi.org/10.3934/dcds.2010.27.1571
https://doi.org/10.3934/dcds.2010.27.1571
Autor:
Peter J. Olver, Juha Pohjanpelto
Publikováno v:
Advances in Mathematics. 222:1746-1792
The aim of this paper is to describe, in as much detail as possible and constructively, the structure of the algebra of differential invariants of a Lie pseudo-group acting on the submanifolds of an analytic manifold. Under the assumption of local fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ccdd5fe13a04eae11fddfa030d91579
https://doi.org/10.1016/j.aim.2009.06.016
https://doi.org/10.1016/j.aim.2009.06.016
Autor:
Juha Pohjanpelto, Peter J. Olver
Publikováno v:
Canadian Journal of Mathematics. 60:1336-1386
We propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. Themoving frame provides an effectivemeans for determining complete systems of differential invariants and invariant differential forms, classifying
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f4f269d653ea6a268e71626fcc4e506
https://doi.org/10.4153/cjm-2008-057-0
https://doi.org/10.4153/cjm-2008-057-0
Publikováno v:
Journal of Geometry and Physics. 58:996-1006
We present new results on the correspondence between symmetries, conservation laws and variational principles for field equations in general non-abelian gauge theories. Our main result states that second order field equations possessing translational
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92147afe69f92cfda3a3d9c8a3830d7c
https://doi.org/10.1016/j.geomphys.2008.03.006
https://doi.org/10.1016/j.geomphys.2008.03.006
Autor:
Juha Pohjanpelto
Publikováno v:
BIT Numerical Mathematics. 48:337-355
A symmetry-based method for constructing solutions to systems of differential equations founded on the reduction of exterior differential systems invariant under the action of an infinite dimensional pseudogroup is proposed. One can associate to any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e13386b91716ef0605e3d1dd031d78be
https://doi.org/10.1007/s10543-008-0177-9
https://doi.org/10.1007/s10543-008-0177-9
Publikováno v:
Foundations of Computational Mathematics. 8:501-532
We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential invariants of Lie symmetry pseudo-groups of differential equations and analyzing the structure of the induced differential inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f603ffe6ac66ab9064526c31a22d6e1
https://doi.org/10.1007/s10208-005-0206-x
https://doi.org/10.1007/s10208-005-0206-x
Autor:
Juha Pohjanpelto, Peter J. Olver
Publikováno v:
Selecta Mathematica. 11:99-126
This paper begins a series devoted to developing a general and practical theory of moving frames for infinite-dimensional Lie pseudo-groups. In this first, preparatory part, we present a new, direct approach to the construction of invariant Maurer–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cabf69cb6a3418832a27a1911027df7a
https://doi.org/10.1007/s00029-005-0008-7
https://doi.org/10.1007/s00029-005-0008-7
Autor:
Stephen C. Anco, Juha Pohjanpelto
Publikováno v:
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 459:1215-1239
A complete and explicit classification of all locally constructed conserved currents and underlying conserved tensors is obtained for massless linear symmetric spinor fields of any spin s 1/2 in fo...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7824f220a8ca4eb6c6f9b599eb61dc59
https://doi.org/10.1098/rspa.2002.1070
https://doi.org/10.1098/rspa.2002.1070