Concepedia

Matrix Lie Groups

Matrix Lie Groups is a mathematical structure defined as a Lie group whose elements are invertible matrices and whose group operations of multiplication and inversion are smooth maps with respect to the underlying Euclidean topology of matrix space.

105

Publications

4.1K

Citations

198

Authors

106

Institutions

Publications per year

2017–2026

36

Parents

Publications

105

CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 2. Applications in Engineering and Physical Sciences

А. В. Аксенов, В. А. Байков, В. А. Чугунов et al. · 1995 · 281 citations

, , +17

On 𝑘-commutative matrices

William E. Roth · Transactions of the American Mathematical Society · 1936 · 160 citations

, , +15

Representability of Lie Algebras and Lie Groups by Matrices

Garrett Birkhoff · Annals of Mathematics · 1937 · 158 citations

, , +12

Intrinsic Filtering on Lie Groups With Applications to Attitude Estimation

Axel Barrau, Silvère Bonnabel · IEEE Transactions on Automatic Control · 2014 · 131 citations

, , +17

The Pauli matrices in <i>n</i> dimensions and finest gradings of simple Lie algebras of type <i>A</i> <i>n</i>−1

J. Patera, Hans Zassenhaus · Journal of Mathematical Physics · 1988 · 121 citations

, , +16

1–5 of 105

Authors

198

  1. IP
    Ivan Petrović

    University of Zagreb, Croatia

    3 publications · 72 citations

    3

    h-index

  2. JĆ
    Josip Ćesić

    University of Zagreb, Croatia

    3 publications · 72 citations

    3

    h-index

  3. MI
    Michael I. Miller

    Johns Hopkins University, United States

    3 publications · 188 citations

    3

    h-index

  4. IM
    Ivan Marković

    University of Zagreb, Croatia

    3 publications · 72 citations

    3

    h-index

  5. VS
    Victor Solo

    UNSW Sydney, Australia

    3 publications · 60 citations

    3

    h-index

1–5 of 198

Institutions

106

  1. Rutgers, The State University of New Jersey

    New Brunswick, United States

    4 h-index

    9 publications

    659 citations

  2. Seoul National University

    Seoul, South Korea

    4 h-index

    9 publications

    538 citations

  3. University of Michigan

    Ann Arbor, United States

    3 h-index

    5 publications

    133 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    7 publications

    182 citations

  5. Marche Polytechnic University

    Ancona, Italy

    3 h-index

    3 publications

    99 citations

  6. UNSW Sydney

    Sydney, Australia

    3 h-index

    7 publications

    131 citations

  7. Washington University in St. Louis

    St Louis, United States

    3 h-index

    5 publications

    271 citations

  8. California Institute of Technology

    Pasadena, United States

    3 h-index

    3 publications

    86 citations

1–8 of 106

Venues

  1. IEEE Transactions on Automatic Control

    7 publications · 292 citations

    7

    h-index

  2. Communications in Theoretical Physics

    CTP · 4 publications · 67 citations

    4

    h-index

  3. Linear Algebra and its Applications

    4 publications · 102 citations

    4

    h-index

  4. IEEE Robotics and Automation Letters

    5 publications · 256 citations

    4

    h-index

  5. Automatica

    3 publications · 64 citations

    3

    h-index

1–5