About the Project

rotation group


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1: 16.24 Physical Applications
The 3 j symbols, or Clebsch–Gordan coefficients, play an important role in the decomposition of reducible representations of the rotation group into irreducible representations. …
2: 29.18 Mathematical Applications
§29.18(iv) Other Applications
Patera and Winternitz (1973) finds bases for the rotation group.
3: Bibliography P
  • J. Patera and P. Winternitz (1973) A new basis for the representation of the rotation group. Lamé and Heun polynomials. J. Mathematical Phys. 14 (8), pp. 1130–1139.
  • 4: Bibliography T
  • A. Terras (1999) Fourier Analysis on Finite Groups and Applications. London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
  • S. A. Teukolsky (1972) Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations. Phys. Rev. Lett. 29 (16), pp. 1114–1118.
  • W. J. Thompson (1994) Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems. A Wiley-Interscience Publication, John Wiley & Sons Inc., New York.
  • C. L. Tretkoff and M. D. Tretkoff (1984) Combinatorial Group Theory, Riemann Surfaces and Differential Equations. In Contributions to Group Theory, Contemp. Math., Vol. 33, pp. 467–519.
  • 5: DLMF Project News
    error generating summary
    6: Philip J. Davis
    Davis joined the Section as part of a distinguished group of researchers studying mathematical methods for exploiting the new computational power. … After receiving an overview of the project and watching a short demo that included a few preliminary colorful, but static, 3D graphs constructed for the first Chapter, “Airy and Related Functions”, written by Olver, Davis expressed the hope that designing a web-based resource would allow the team to incorporate interesting computer graphics, such as function surfaces that could be rotated and examined. … DLMF users can rotate, rescale, zoom and otherwise explore mathematical function surfaces. …
    7: Bibliography K
  • E. G. Kalnins, W. Miller, and P. Winternitz (1976) The group O ( 4 ) , separation of variables and the hydrogen atom. SIAM J. Appl. Math. 30 (4), pp. 630–664.
  • C. Kassel (1995) Quantum Groups. Graduate Texts in Mathematics, Vol. 155, Springer-Verlag, New York.
  • T. H. Koornwinder (1984a) Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups. In Special Functions: Group Theoretical Aspects and Applications, pp. 1–85.
  • T. H. Koornwinder (1994) Compact quantum groups and q -special functions. In Representations of Lie Groups and Quantum Groups, Pitman Res. Notes Math. Ser., Vol. 311, pp. 46–128.
  • S. Kowalevski (1889) Sur le problème de la rotation d’un corps solide autour d’un point fixe. Acta Math. 12 (1), pp. 177–232 (French).