Concepedia

Transformation Groups

Transformation Groups is a mathematical framework consisting of a set of geometric transformations that satisfy group axioms, enabling the systematic study of invariants and symmetries under composition and inversion operations.

1.2K

Publications

56.3K

Citations

1.5K

Authors

706

Institutions

Publications per year

2017–2026

84

Parents

Publications

1.2K

Group Analysis of Differential Equations.

Willard Miller · American Mathematical Monthly · 1985 · 2.5K citations

, , +12

Structure of Phenomenological Lagrangians. I

Sidney Coleman, J. Wess, Bruno Zumino · Physical Review · 1969 · 2.2K citations

, , +16

Finite Unitary Reflection Groups

G. C. Shephard, John A. Todd · Canadian Journal of Mathematics · 1954 · 1.1K citations · Full text

, , +12

Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

Michael G. Crandall, Thomas M. Liggett · American Journal of Mathematics · 1971 · 934 citations

, , +7

Transformation groups applied to mathematical physics

Acta Applicandae Mathematicae · 1986 · 791 citations

, , +14

1–5 of 1.2K

Authors

1.5K

  1. DM
    Deane Montgomery

    Institute for Advanced Study, United States

    9 publications · 535 citations

    9

    h-index

  2. AA
    Abraham A. Ungar

    North Dakota State University, United States

    8 publications · 312 citations

    8

    h-index

  3. RE
    Robert Ellis

    University of Minnesota, United States

    8 publications · 779 citations

    8

    h-index

  4. HB
    Harvey B. Keynes

    University of Minnesota, United States

    8 publications · 237 citations

    8

    h-index

  5. GE
    Glen E. Bredon

    University of California, Berkeley, United States

    7 publications · 168 citations

    7

    h-index

1–5 of 1.5K

Institutions

706

  1. Institute of Mathematics

    Kyiv, Ukraine

    12 h-index

    16 publications

    410 citations

  2. University of Lisbon

    Lisbon, Portugal

    12 h-index

    17 publications

    727 citations

  3. University of Michigan

    Ann Arbor, United States

    11 h-index

    16 publications

    779 citations

  4. California Institute of Technology

    Pasadena, United States

    10 h-index

    10 publications

    345 citations

  5. The University of Western Australia

    Perth, Australia

    10 h-index

    12 publications

    350 citations

  6. University of Vienna

    Vienna, Austria

    10 h-index

    11 publications

    316 citations

  7. University of St Andrews

    St Andrews, United Kingdom

    10 h-index

    14 publications

    765 citations

  8. Kyoto University

    Kyoto, Japan

    9 h-index

    20 publications

    4.3K citations

1–8 of 706

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 67 publications · 2.9K citations

    31

    h-index

  2. Journal of Mathematical Physics

    65 publications · 2.1K citations

    26

    h-index

  3. Annals of Mathematics

    29 publications · 3.3K citations

    22

    h-index

  4. Pacific Journal of Mathematics

    24 publications · 1K citations

    21

    h-index

  5. Journal of Algebra

    29 publications · 934 citations

    19

    h-index

1–5