Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On Lie algebras of vector fields

Authors: Akira Koriyama, Yoshiaki Maeda and Hideki Omori
Journal: Trans. Amer. Math. Soc. 226 (1977), 89-117
MSC: Primary 57D25; Secondary 58H05
MathSciNet review: 0431196
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper has two purposes. The first is a generalization of the theorem of Pursell-Shanks [10]. Our generalization goes by assuming the existence of a nontrivial core of a Lie algebra. However, it seems to be a necessary condition for the theorems of Pursell-Shanks type.

The second is the classification of cores under the assumption that the core itself is infinitesimally transitive at every point. As naturally expected, we have the nonelliptic, primitive infinite-dimensional Lie algebras.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57D25, 58H05

Retrieve articles in all journals with MSC: 57D25, 58H05

Additional Information

Keywords: Cores of Lie algebras, multivalued primitive structures
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society