Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Deformations of vector fields and Hamiltonian vector fields on the plane

Authors: Nico van den Hijligenberg, Youri Kotchetkov and Gerhard Post
Journal: Math. Comp. 64 (1995), 1215-1226
MSC: Primary 17B66; Secondary 17B56
MathSciNet review: 1297480
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: For the Lie algebras ${L_1}(H(2))$ and ${L_1}(W(2))$, we study their infinitesimal deformations and the corresponding global ones. We show that, as in the case of ${L_1}(W(1))$, each integrable infinitesimal deformation of ${L_1}(H(2))$ and ${L_1}(W(2))$ can be represented by a 2-cocycle that defines a global deformation by means of a trivial extension. We also illustrate that all deformations of ${L_1}(H(2))$ arise as restrictions of deformations of ${L_1}(W(2))$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 17B66, 17B56

Retrieve articles in all journals with MSC: 17B66, 17B56

Additional Information

Keywords: Lie algebras, deformations
Article copyright: © Copyright 1995 American Mathematical Society