Add to ORKGIt will be shown that the defining relations for fuzzy torus and deformed (squashed) sphere proposed by J. Arnlind, et al (hep-th/0602290) can be rewriten as a new algebra which contains q-deformed commutators. The quantum parameter q (|q|=1) is a function of \hbar. It is shown that the q --> 1 limit of the algebra with the parameter \mu <0 describes fuzzy S^2 and that the squashed S^2 with q \neq 1 and \mu <0 can be regarded as a new kind of quantum S^2. The N-dim representations of the q-deformed Lie algebra for T^2 and S^2 are derived. Throughout the paper the value of the invariant of the algebra, which defines the constraint for the surfaces, is not restricted to be 1. This allows the parameter q to be treated as independent of N and \...
AbstractIn this article, the structure of two-sided ideals in the q-deformed Heisenberg algebras def...
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by def...
Guided by ordinary quantum mechanics we introduce new fuzzy spheres of dimensions d=1,2: we consider...
We give a systematic discussion of the relation between q-difference equations which are conditional...
Fuzzy spaces arise as discrete approximations to continuum manifolds. They are usually obtained thro...
In this note, we study Schwarz's conjecture on application of Q-algebras to strict quantiza...
We investigate some properties of two varieties of algebras arising from quantum computation - quas...
Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy sphe...
We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) ...
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' nonco...
Abstract: Several Clifford algebras that are covariant under the action of a Lie algebra $g$ can be ...
We present in this paper quantum real lines as quantum defomations of the real numbers $\R$.Upon def...
Abstract: The aim of this paper is to introduce the notion of Q-ideal and fuzzy Q-ideal in Q-algebra...
As Álgebras Quânticas foram recentemente introduzidas como uma generalização das álgebras de Lie clá...
A b s t r a c t. We investigate some properties of two varieties of algebras arising from quantum co...
AbstractIn this article, the structure of two-sided ideals in the q-deformed Heisenberg algebras def...
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by def...
Guided by ordinary quantum mechanics we introduce new fuzzy spheres of dimensions d=1,2: we consider...
We give a systematic discussion of the relation between q-difference equations which are conditional...
Fuzzy spaces arise as discrete approximations to continuum manifolds. They are usually obtained thro...
In this note, we study Schwarz's conjecture on application of Q-algebras to strict quantiza...
We investigate some properties of two varieties of algebras arising from quantum computation - quas...
Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy sphe...
We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) ...
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' nonco...
Abstract: Several Clifford algebras that are covariant under the action of a Lie algebra $g$ can be ...
We present in this paper quantum real lines as quantum defomations of the real numbers $\R$.Upon def...
Abstract: The aim of this paper is to introduce the notion of Q-ideal and fuzzy Q-ideal in Q-algebra...
As Álgebras Quânticas foram recentemente introduzidas como uma generalização das álgebras de Lie clá...
A b s t r a c t. We investigate some properties of two varieties of algebras arising from quantum co...
AbstractIn this article, the structure of two-sided ideals in the q-deformed Heisenberg algebras def...
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by def...
Guided by ordinary quantum mechanics we introduce new fuzzy spheres of dimensions d=1,2: we consider...