\(q\)-deformation of the Lorentz group. (English) Zbl 0863.17010

Finkelstein, Robert J.

J. Math. Phys. 37, No. 2, 953-964 (1996).

The author studies the \(q\)-deformation of the Lorentz group by \(q\)-deforming its two-dimensional representation. His approach is via the spinor algebra of van der Waerden for the Lorentz group. Further he proposes a \(q\)-analogue of Penrose’s decomposition of a reducible representation of the Lorentz group into irreducibles.

Reviewer: O.Ninnemann (Berlin)

MSC:

17B37	Quantum groups (quantized enveloping algebras) and related deformations
81R50	Quantum groups and related algebraic methods applied to problems in quantum theory

Keywords:

quantum groups; charge conjugation; \(q\)-Penrose tensors; \(q\)-spinors; \(q\)-spin representations; \(q\)-deformation; Lorentz group; spinor algebra

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