Concepedia

Adjoint Transformation

Adjoint Transformation is a linear transformation that maps elements of a Lie algebra associated with a rigid-body motion to their corresponding representations under a change of coordinate frame, defined by a homogeneous transformation matrix, thereby preserving the structure of spatial velocities and forces in robotic and geometric applications.

429

Publications

19.6K

Citations

802

Authors

438

Institutions

Publications per year

2017–2026

79

Variants

Adjoint MapAdjoint Representation

Parents

Publications

429

Vertex algebras, Kac-Moody algebras, and the Monster

Richard E. Borcherds · Proceedings of the National Academy of Sciences · 1986 · 1.4K citations · Full text

, , +16

An Introduction to the Adjoint Approach to Design

Michael B. Giles, Niles A. Pierce · Flow Turbulence and Combustion · 2000 · 967 citations

, , +8

Waveform inversion in the Laplace domain

Changsoo Shin, Young Ho · Geophysical Journal International · 2008 · 472 citations

, , +15

Runge-Kutta methods in optimal control and the transformed adjoint system

William W. Hager · Numerische Mathematik · 2000 · 439 citations

, , +11

The adjoint of a bilinear operation

Richard Arens · Proceedings of the American Mathematical Society · 1951 · 398 citations · Full text

, , +9

1–5 of 429

Authors

802

  1. JS
    Jian S. Dai

    King's College London, United Kingdom

    4 publications · 557 citations

    4

    h-index

  2. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    4 publications · 392 citations

    4

    h-index

  3. KS
    K. Suchy

    Heinrich Heine University Düsseldorf, Germany

    3 publications · 65 citations

    3

    h-index

  4. GS
    Gérard Schiffmann

    Weizmann Institute of Science, Israel

    3 publications · 289 citations

    3

    h-index

  5. JM
    Jesús Medina

    Universidad de Cádiz, Spain

    3 publications · 142 citations

    3

    h-index

1–5 of 802

Institutions

438

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    16 publications

    709 citations

  2. University of Oxford

    Oxford, United Kingdom

    6 h-index

    7 publications

    536 citations

  3. University of Washington

    Seattle, United States

    5 h-index

    12 publications

    1.2K citations

  4. Weizmann Institute of Science

    Rehovot, Israel

    5 h-index

    5 publications

    404 citations

  5. King's College London

    London, United Kingdom

    5 h-index

    6 publications

    583 citations

  6. École Polytechnique

    Palaiseau, France

    5 h-index

    7 publications

    167 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    5 h-index

    9 publications

    421 citations

  8. Imperial College London

    London, United Kingdom

    5 h-index

    7 publications

    831 citations

1–8 of 438

Venues

  1. Journal of High Energy Physics

    JHEP · 17 publications · 924 citations

    16

    h-index

  2. Journal of Mathematical Physics

    13 publications · 385 citations

    11

    h-index

  3. arXiv (Cornell University)

    Repository · 14 publications · 301 citations

    11

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 11 publications · 267 citations

    10

    h-index

  5. ArXiv.org

    Repository · 8 publications · 250 citations

    8

    h-index

1–5