Izvorni znanstveni članak

Classification of complete left-invariant affine structures on the oscillator group

Mohammed Guediri ; Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

Sažetak

The goal of this paper is to provide a method, based on the theory of extensions of left-symmetric algebras, for classifying left-invariant affine structures on a given solvable Lie group of low dimension. To better illustrate our method, we shall apply it to classify all complete left-invariant affine structures on the oscillator group.

Ključne riječi

Left-invariant affine structures; left-symmetric algebras; extensions and cohomologies of Lie algebras and left-symmetric algebras

Hrčak ID:

129583

URI

https://hrcak.srce.hr/129583

Datum izdavanja:

5.12.2014.

Posjeta: 854 *