Structure of the Three-dimensional Quantum Euclidean Space

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

doi:10.1007/s100520050013

Structure of the Three-dimensional Quantum Euclidean Space

量子代数 2011-09-13 v1 高能物理 - 理论数学物理 math.MP

作者: B. L. Cerchiai , J. Madore , S. Schraml , J. Wess

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摘要

As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space $R^3_q$ 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.

关键词

quantum group representations quantum groups differential geometry of surfaces and curves in euclidean space

引用

@article{arxiv.math/0004011,
  title  = {Structure of the Three-dimensional Quantum Euclidean Space},
  author = {B. L. Cerchiai and J. Madore and S. Schraml and J. Wess},
  journal= {arXiv preprint arXiv:math/0004011},
  year   = {2011}
}

备注

22 pages, latex

Structure of the Three-dimensional Quantum Euclidean Space

摘要

关键词

引用

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