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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 1999 Volume 226, Pages 97–111 (Mi tm531)

This article is cited in 14 papers

Twist-Related Geometries on q-Minkowski Space

P. P. Kulisha, A. I. Mudrov

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The role of the quantum universal enveloping algebras of symmetries in constructing the noncommutative geometry of the space–time including vector bundles, measure, equations of motion and their solutions is discussed. In the framework of the twist theory, the Klein–Gordon–Fock and Dirac equations on the quantum Minkowski space are studied from this point of view for the simplest quantum deformation of the Lorentz algebra induced by its Cartan subalgebra twist.

UDC: 501

Received in April 1999


 English version:
Proceedings of the Steklov Institute of Mathematics, 1999, 226, 86–99

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