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By A. Jaffe (Chief Editor)

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Free braided differential calculus, braided binomial theorem and the braided exponential map. J. Math. Phys. 34, 4843–4856 (1993) Conservation Laws for Linear Equations on Quantum Minkowski Spaces 45 14. : Introduction to braided geometry and q-Minkowski space. In: “Quantum groups and their applications”, Proceedings of the International School of Physics “Enrico Fermi”, Varenna 1994: Editors L. Castellani and J. Wess, p. 267–345 Amsterdam: IOS Press, 1996 15. : The symmetry algebra and conserved currents for Klein–Gordon equation on quantum Minkowski space.

26, 955–967 (1993) 3. : The conservation laws for deformed classical models. Czechoslovak J. Phys. 44, 1049–1057 (1994) 4. : The conservation laws and integrals of motion for a certain class of equations in discrete models. J. Phys. A: Math. & Gen. 29, 1747–1758 (1996) 5. : New quantum Poincar´e algebra and κ-deformed field theory. Phys. Lett. B 293, 344–352 (1992) 6. : From κ-Poincar´e algebra to κ-Lorentz quasigroup. A deformation of relativistic symmetry. Phys. Lett. B 313, 357–366 (1993) 7.

For k ≥ 2, the standard basis of Tk is {ψ[j]}; the index j represents the dimension of the irreducible representation described by ψ[j] and 1 ≤ j ≤ (k − 1). The matrix elements of X and Y are i iπmn − exp (X)mn = √ exp − k 2k iπm2 (Y )mn = ξ exp − δmn ; 2k iπmn k ; (16) with ξ = exp(iπ/2k). (17) When k = 1, one has X= 1 1 1 , −1 Y = 1 0 0 . i (18) The algebra T1 is isomorphic with T3 and it is easy to verify that Ik=1 (Lp/r ) = Ik=3 (Lp/r ) ∗ . (19) Therefore, we only need to consider the case k ≥ 2.

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Communications in Mathematical Physics - Volume 192 by A. Jaffe (Chief Editor)


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