Concepedia

Rotation Group Representations

Rotation Group Representations is a mathematical framework in the theory of Lie groups that describes how the group of three-dimensional rotations, SO(3), acts on vector spaces through linear transformations, specifically by associating each rotation with a unitary operator in a way that preserves the group structure and encodes angular momentum eigenstates in quantum mechanics.

215

Publications

13.2K

Citations

359

Authors

227

Institutions

Publications per year

2017–2026

26

Variants

Representations Of The Rotation Group

Parents

Publications

215

On the Continuity of Rotation Representations in Neural Networks

Yi Zhou, Connelly Barnes, Jingwan Lu et al. · 2019 · 1.1K citations

, , +16

Spin-<i>s</i> Spherical Harmonics and ð

Joshua N. Goldberg, Alan Macfarlane, Ezra T. Newman et al. · Journal of Mathematical Physics · 1967 · 880 citations

, , +12

Representations of the Rotation and Lorentz Groups and Their Applications.

Róbert Hermann, I. M. Gel'fand, R. A. Minlos et al. · American Mathematical Monthly · 1966 · 797 citations

, , +14

Multipole vectors: A new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2⩽l⩽8

Craig J. Copi, Dragan Huterer, Glenn D. Starkman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2004 · 310 citations · Full text

, , +15

On the Representations of the Rotation Group

V. Bargmann · Reviews of Modern Physics · 1962 · 286 citations

, , +8

1–5 of 215

Authors

359

  1. JN
    J. Niederle

    The Abdus Salam International Centre for Theoretical Physics (ICTP), Italy

    4 publications · 175 citations

    4

    h-index

  2. CE
    Carlos Esteves

    Google (United States), United States

    4 publications · 67 citations

    4

    h-index

  3. SS
    S. Szpikowski

    University of Manchester, United Kingdom

    3 publications · 151 citations

    3

    h-index

  4. TC
    Ted Chang

    University of Virginia, United States

    3 publications · 190 citations

    3

    h-index

  5. BG
    B. G. Wybourne

    University of Canterbury, New Zealand

    3 publications · 80 citations

    3

    h-index

1–5 of 359

Institutions

227

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    8 publications

    290 citations

  2. The Abdus Salam International Centre for Theoretical Physics (ICTP)

    Trieste, Italy

    5 h-index

    9 publications

    306 citations

  3. The University of Tokyo

    Tokyo, Japan

    4 h-index

    8 publications

    198 citations

  4. Princeton University

    Princeton, United States

    4 h-index

    3 publications

    311 citations

  5. University of Virginia

    Charlottesville, United States

    4 h-index

    4 publications

    1.3K citations

  6. University of Pennsylvania

    Philadelphia, United States

    4 h-index

    8 publications

    98 citations

  7. Johns Hopkins University

    Baltimore, United States

    4 h-index

    6 publications

    144 citations

  8. University of California, Berkeley

    Berkeley, United States

    4 h-index

    6 publications

    124 citations

1–8 of 227

Venues

  1. Journal of Mathematical Physics

    40 publications · 2.8K citations

    24

    h-index

  2. The Journal of Chemical Physics

    9 publications · 822 citations

    9

    h-index

  3. arXiv (Cornell University)

    Repository · 6 publications · 194 citations

    6

    h-index

  4. Physical Review Letters

    PRL · 5 publications · 255 citations

    5

    h-index

  5. Journal of Physics A Mathematical and General

    5 publications · 138 citations

    5

    h-index

1–5