O ct 2 00 4 New approach to Hermitian q - differential operators on R Nq Gaetano Fiore
نویسنده
چکیده
We report on our recent breakthrough [9] in the costruction for q > 0 of Hermitean and “tractable” differential operators out of the Uqso(N)covariant differential calculus on the noncommutative manifolds Rq (the socalled “quantum Euclidean spaces”).
منابع مشابه
New Approach to Hermitian q–Differential Operators on Rq
We report on our recent breakthrough [9] in the costruction for q > 0 of Hermitean and “tractable” differential operators out of the Uqso(N)covariant differential calculus on the noncommutative manifolds Rq (the socalled “quantum Euclidean spaces”).
متن کامل2 6 M ar 2 00 4 On the hermiticity of q - differential operators and forms on the quantum Euclidean spaces R Nq
We show that the complicated ⋆-structure characterizing for positive q the Uqso(N)-covariant differential calculus on R N q boils down to similarity transformations involving the ribbon element of a central extension of Uqso(N) and its formal square root ṽ. Subspaces of the spaces of functions and of p-forms on Rq are made into Hilbert spaces by introducing nonconventional “weights” in the inte...
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We show that the complicated ⋆-structure characterizing for positive q the Uqso(N)-covariant differential calculus on the non-commutative manifold Rq boils down to similarity transformations involving the ribbon element of a central extension of Uqso(N) and its formal square root ṽ. Subspaces of the spaces of functions and of p-forms on Rq are made into Hilbert spaces by introducing non-convent...
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We show that the complicated ⋆-structure characterizing for positive q the Uqso(N)-covariant differential calculus on the non-commutative manifold Rq boils down to similarity transformations involving the ribbon element of a central extension of Uqso(N) and its formal square root ṽ. Subspaces of the spaces of functions and of p-forms on Rq are made into Hilbert spaces by introducing non-convent...
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