论文信息 - Structure of the three-dimensional quantum euclidean space

Structure of the three-dimensional quantum euclidean space

Abstract. As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space $\mathbb{R}^3_q$ together with its symmetry structure in great detail. The algebraic structure and the representation theory are clarified and discrete spectra for the coordinates are found. The q-deformed Legendre functions play a special role. A completeness relation is derived for these functions.

J. Madore | B. L. Cerchiai | S. Schraml | J. Wess

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