ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
Publication type: Journal Article
Publication date: 1987-06-30
SJR: —
CiteScore: —
Impact factor: —
ISSN: 00255726
Mechanical Engineering
Energy Engineering and Power Technology
Management Science and Operations Research
Abstract
For general degenerate Poisson brackets, analogues are constructed of invariant vector fields, invariant forms, Haar measure and adjoint representation. A pseudogroup operation is defined that corresponds to nonlinear Poisson brackets, and analogues are obtained for the three classical theorems of Lie. The problem of constructing global pseudogroups is examined. Bibliography: 49 titles.
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66
Total citations:
66
Citations from 2024:
3
(4.55%)
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GOST
Copy
Karasev M. ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS // Mathematics of the USSR-Izvestiya. 1987. Vol. 28. No. 3. pp. 497-527.
GOST all authors (up to 50)
Copy
Karasev M. ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS // Mathematics of the USSR-Izvestiya. 1987. Vol. 28. No. 3. pp. 497-527.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1070/IM1987v028n03ABEH000895
UR - https://doi.org/10.1070/IM1987v028n03ABEH000895
TI - ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
T2 - Mathematics of the USSR-Izvestiya
AU - Karasev, M.V.
PY - 1987
DA - 1987/06/30
PB - IOP Publishing
SP - 497-527
IS - 3
VL - 28
SN - 0025-5726
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{1987_Karasev,
author = {M.V. Karasev},
title = {ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS},
journal = {Mathematics of the USSR-Izvestiya},
year = {1987},
volume = {28},
publisher = {IOP Publishing},
month = {jun},
url = {https://doi.org/10.1070/IM1987v028n03ABEH000895},
number = {3},
pages = {497--527},
doi = {10.1070/IM1987v028n03ABEH000895}
}
Cite this
MLA
Copy
Karasev, M.V.. “ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS.” Mathematics of the USSR-Izvestiya, vol. 28, no. 3, Jun. 1987, pp. 497-527. https://doi.org/10.1070/IM1987v028n03ABEH000895.