3 papers
math.DS2001
The Casimir Invariants of Universal Lie algebra extensions via commutative structures
A B Yanovski
We consider the Casimir Invariants related to some a special kind of Lie-algebra extensions, called universal extensions. We show that these invariants can be studied using the equ…
math.RA2001
Universal Lie algebra extensions via commutative structures
A B Yanovski
We consider some special type extensions of an arbitrary Lie algebra, which we call universal extensions. We show that these extensions are in one-to-one correspondence with finite…
math.DS2001
Lie algebra extensions related with linear bundles of Lie brackets
A. B. Yanovski
We consider some special type extensions of an arbitrary Lie algebra , arising in the theory of Lie-Poisson structures over , where is the du…