Bosonic q-oscillators commute with themselves and so their free distribution is Planckian. In
a cavity, their emission and absorption rates may grow or shrink–and even diverge–but they …

A simultaneous and global scheme of quantum deformation is defined for the set of algebras
corresponding to the groups of motions of the two-dimensional Cayley-Klein geometries …

We give a review of some group-theoretical results related to nonrelativistic holography. Our
main playgrounds are the Schrödinger equation and the Schrödinger algebra. We first recall …

The 1D Heisenberg spin model with an anisotropy of the XXZ type is analysed in terms of
the symmetry given by the quantum Galilei group Gamma q (1). For a chain with an infinite …

We study the recently discovered q-deformed Poincaré supersymmetry of the AdS 3/CFT 2
integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts …

The Lie bialgebras of the (1+ 1) extended Galilei algebra are obtained and classified into
four multiparametric families. Their quantum deformations are obtained, together with the …

We discover that a certain deformation of the 1+ 1 dimensional Poincaré superalgebra is
exactly realised in the massless sector of the ${\mathrm {AdS}} _ {3}/{\mathrm {CFT}} _ {2} …

After a preliminary review of the definition and the general properties of the homogeneous
spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are …

The concept of a universal T matrix, introduced by Fronsdal and Galindo (1993) in the
framework of quantum groups, is discussed here as a generalization of the exponential …

In the present paper, the problem of vortex images in the annular domain between two
coaxial cylinders is solved by the q-elementary functions. We show that all images are …