We study how to generate new Lie algebras G (N 0,…, N p,…, N n) from a given one G. The
(order by order) method consists in expanding its Maurer–Cartan one-forms in powers of a …

After reviewing the three well-known methods to obtain Lie algebras and superalgebras
from given ones, namely, contractions, deformations and extensions, we describe a fourth …

We show that the Lorentzian Snyder models, together with their Galilei and Carroll limiting
cases, can be rigorously constructed through the projective geometry description of …

In this paper we give an approach to quantum deformations of the (2+ 1) kinematical Lie
algebras within a scheme that simultaneously describes all groups of motions of classical …

Several non-semisimple Lie groups play an important role in Physics, for instance, the
Poincar6 and Galilei ones; they can be gotten starting from semisimple groups by means of …

A global model of the q deformation for the quasiorthogonal Lie algebras generating the
groups of motions of the four‐dimensional affine Cayley–Klein (CK) geometries is obtained …

The Cayley–Klein (CK) formalism is applied to the real algebra so (5) by making use of four
graded contraction parameters describing, in a unified setting, 81 Lie algebras, which cover …

A complete choice of generators of the centre of the envelo** algebras of real quasisimple
Lie algebras of orthogonal type, for arbitrary dimension, is obtained in a unified setting. The …

We construct the full quantum algebra, the corresponding Poisson-Lie structure and the
associated quantum spacetime for a family of quantum deformations of the isometry …

A new integrable generalization to the 2D sphere $ S^ 2$ and to the hyperbolic space $ H^
2$ of the 2D Euclidean anisotropic oscillator Hamiltonian with Rosochatius (centrifugal) …