Concepedia

Group Theory

Group Theory is a branch of mathematics that studies algebraic structures known as groups, characterized by a set equipped with an operation that combines any two elements to form a third element while satisfying closure, associativity, identity, and invertibility, and in the context of Inorganic and Theoretical Chemistry, it provides a formal framework for analyzing molecular symmetry and predicting physical and spectroscopic properties of molecules based on their symmetry operations.

67.1K

Publications

2.8M

Citations

38.5K

Authors

5.1K

Institutions

Publications per year

2017–2026

5.6K

Parents

Children

Publications

67.1K

On the generators of quantum dynamical semigroups

Göran Lindblad · Communications in Mathematical Physics · 1976 · 7.6K citations

, , +12

Applications of lie groups to differential equations

Acta Applicandae Mathematicae · 1990 · 6.1K citations

, , +14

The renormalization group and the ε expansion

Kenneth G. Wilson · Physics Reports · 1974 · 5.2K citations

, , +12

Renormalization group analysis of turbulence. I. Basic theory

Victor Yakhot, Steven A. Orszag · Journal of Scientific Computing · 1986 · 4.2K citations

, , +14

Finding Groups in Data: An Introduction to Cluster Analysis.

Warren S. Sarle, Leonard Kaufman, Peter J. Rousseeuw · Journal of the American Statistical Association · 1991 · 3.6K citations

, , +11

1–5 of 67.1K

Authors

38.5K

  1. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    81 publications · 9.5K citations

    43

    h-index

  2. PW
    P. Winternitz

    Université de Montréal, Canada

    77 publications · 5.7K citations

    42

    h-index

  3. MW
    Martin W. Liebeck

    Imperial College London, United Kingdom

    81 publications · 6.1K citations

    42

    h-index

  4. VG
    Victor G. Kač

    Massachusetts Institute of Technology, United States

    62 publications · 6K citations

    39

    h-index

  5. JS
    Jan Saxl

    University of Cambridge, United Kingdom

    59 publications · 4.3K citations

    36

    h-index

1–5 of 38.5K

Institutions

5.1K

  1. Massachusetts Institute of Technology

    Cambridge, United States

    120 h-index

    923 publications

    79.5K citations

  2. Institute for Advanced Study

    Princeton, United States

    99 h-index

    548 publications

    59.3K citations

  3. Princeton University

    Princeton, United States

    98 h-index

    619 publications

    73.1K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    97 h-index

    1.7K publications

    65.6K citations

  5. Harvard University

    Cambridge, United States

    92 h-index

    565 publications

    46.8K citations

  6. University of California, Berkeley

    Berkeley, United States

    91 h-index

    825 publications

    46.7K citations

  7. University of Chicago

    Chicago, United States

    84 h-index

    674 publications

    38.3K citations

  8. University of Cambridge

    Cambridge, United Kingdom

    80 h-index

    617 publications

    40.3K citations

1–8 of 5.1K

Venues

  1. Annals of Mathematics

    1.1K publications · 122.5K citations

    178

    h-index

  2. Inventiones mathematicae

    854 publications · 78.6K citations

    143

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2.4K publications · 101.9K citations

    125

    h-index

  4. Journal of Algebra

    3.5K publications · 123.7K citations

    120

    h-index

  5. Nuclear Physics B

    666 publications · 55.2K citations

    112

    h-index

1–5