# Spectral geometry of ?-Minkowski space

@article{DAndrea2005SpectralGO,
title={Spectral geometry of ?-Minkowski space},
author={Francesco D’Andrea},
journal={Journal of Mathematical Physics},
year={2005}
}
• F. D’Andrea
• Published 1 March 2005
• Mathematics
• Journal of Mathematical Physics
After recalling Snyder’s idea [Phys. Rev. 71, 38 (1947)] of using vector fields over a smooth manifold as “coordinates on a noncommutative space,” we discuss a two-dimensional toy-model whose “dual” noncommutative coordinates form a Lie algebra: this is the well-known κ-Minkowski space [Phys. Lett. B 334, 348 (1994)]. We show how to improve Snyder’s idea using the tools of quantum groups and noncommutative geometry. We find a natural representation of the coordinate algebra of κ-Minkowski as…

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