symmetry and QCD: finite temperature and density.
A generalized coherent state approach of the quantum dynamics for suitable time-dependent hamiltonians
A -analogue of the centralizer construction and skew representations of the quantum affine algebra.
A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces.
A unified model of phantom energy and dark matter.
Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.
Berezin-Weyl quantization for Cartan motion groups
We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
Class Operators for Compact Lie Groups
Classical -symbols and the tetrahedron.
Clifford fibrations and possible kinematics.
Comtrans algebras and their physical applications
Contractions of Lie algebras and algebraic groups
Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them. Here we focus on contractions of Lie algebras and algebraic groups.
Deformation on phase space.
El trabajo que presentamos constituye una revisión de varios procedimientos de cuantización basados en un espacio de fases clásico M. Estos métodos consideran a la mecánica cuántica como una "deformación" de la mecánica clásica por medio de la "transformación" del álgebra conmutativa C∞(M) en una nueva álgebra no conmutativa C∞(M)ħ. Todas estas ideas conducen de modo natural a los grupos cuánticos como deformación (o cuantización en un sentido amplio) de los grupos de Poisson-Lie, lo cual también...
Electroweak interaction model with an undegenerate double symmetry.
Exotic galilean symmetry and non-commutative mechanics.
Extension of the Poincaré symmetry and its field theoretical implementation.
Factor-group-generated polar spaces and (multi-)qudits.
Fast constructions of quantum codes based on residues Pauli block matrices.
Formula for unbiased bases
The present paper deals with mutually unbiased bases for systems of qudits in dimensions. Such bases are of considerable interest in quantum information. A formula for deriving a complete set of mutually unbiased bases is given for where is a prime integer. The formula follows from a nonstandard approach to the representation theory of the group . A particular case of the formula is derived from the introduction of a phase operator associated with a generalized oscillator algebra. The case...
From noncommutative sphere to nonrelativistic spin.