منابع مشابه
1 Jordanian quantum spheres
We introduce and investigate a one parameter family of quantum spaces invariant under the left (right) coactions of the group-like element T (j=1) h of the Jordanian function algebra Funh(SL(2)). These spaces may be regarded as Jordanian quantization of the two-dimensional spheres.
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The paper deal with non-commutative geometry. The notion of quantumspheres was introduced by podles. Here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.
متن کاملhermitian metric on quantum spheres
the paper deal with non-commutative geometry. the notion of quantumspheres was introduced by podles. here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.
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It is well–known [1] that, analogous to the classical group–theoretical method, the q–deformation of IGL(2) can be constructed by factoring out a certain two–sided Hopf ideal from the multiparameter q–deformation of GL(3). This is an interesting procedure, allowing, for example, the construction of a differential calculus on the quantum plane by a reduction of the differential calculus on the q...
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A non-standard quantum deformation of the two-photon algebra h6 is constructed, and its quantum universal R-matrix is given. Representations of this new quantum algebra are studied on the Fock space and translated into Fock–Bargmann realizations that provide a direct formalism for the definition of deformed states of light. Finally, the isomorphism between h6 and the (1+1) Schrödinger algebra i...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2001
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732301004832