A sufficient condition for reduction by stages: proof and applications

Journal Article · Mon Jun 30 00:00:00 EDT 2008 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2008V199N05ABEH003938; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21096774

Mykytyuk, I V ^[1]; Stepin, A M ^[2]

---

1. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, Lviv (Ukraine)
2. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)

In this paper we prove the Marsden-Misiolek-Ortega-Perlmutter-Ratiu Stages Hypothesis, which is a sufficient condition for a general reduction by stages theorem. Our Lie-algebraic approach allows us to prove this conjecture in a general case (not only for semidirect products of groups with cocycle) and to simplify the proof of a general reduction by stages theorem (with some modifications). Bibliography: 8 titles.

• OSTI ID: 21096774
• Journal Information: Sbornik. Mathematics, Vol. 199, Issue 5; Other Information: DOI: 10.1070/SM2008v199n05ABEH003938; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HYPOTHESIS
MODIFICATIONS
REDUCTION