arXiv subjects

A B Yanovski

Publications and source records attributed to A B Yanovski.

2 recordsLinked to original sources

arXiv2001

The Casimir Invariants of Universal Lie algebra extensions via commutative structures

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 equivalence between the universal extensions and the commutative algebras and consider in detail the so called coextension structures, arising in the calculation of the Casimir functions.

math.DS↗

arXiv2001

Universal Lie algebra extensions via commutative structures

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 dimensional associative commutative algebras. We also construct a special kind of these extensions, that correspond to a finite commutative monoids.

math.RA↗