Concepedia

Trace Maps

Trace Maps is a mathematical construct in the theory of local fields that assigns to each finite extension a linear map from the extension field to the base field, characterizing the sum of Galois conjugates of an element, thereby encoding essential arithmetic and algebraic properties of field extensions.

288

Publications

16.1K

Citations

432

Authors

280

Institutions

Publications per year

2017–2026

33

Variants

Trace Map

Parents

Publications

288

Linear transformations which preserve trace and positive semidefiniteness of operators

Andrzej Jamiołkowski · Reports on Mathematical Physics · 1972 · 1.6K citations

, , +9

Modular-Invariance of Trace Functions¶in Orbifold Theory and Generalized Moonshine

Chongying Dong, Haisheng Li, Geoffrey Mason · Communications in Mathematical Physics · 2000 · 469 citations · Full text

, , +14

The cyclotomic trace and algebraic K-theory of spaces

M. B�kstedt, W. C. Hsiang, Ib Madsen · Inventiones mathematicae · 1993 · 412 citations

, , +13

An analysis of completely-positive trace-preserving maps on M2

Mary Beth Ruskai, Stanisław J. Szarek, Elisabeth M. Werner · Linear Algebra and its Applications · 2002 · 356 citations

, , +4

Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings

Matej Brešar · Transactions of the American Mathematical Society · 1993 · 336 citations · Full text

, , +10

1–5 of 288

Authors

432

  1. JA
    James Arthur

    University of Birmingham, United Kingdom

    5 publications · 446 citations

    5

    h-index

  2. MB
    Mary Beth Ruskai

    Tufts University, United States

    5 publications · 804 citations

    5

    h-index

  3. MA
    Mazhar Ali

    University of Lethbridge, Canada

    5 publications · 308 citations

    5

    h-index

  4. AP
    Albrecht Pietsch

    Friedrich Schiller University Jena, Germany

    4 publications · 74 citations

    4

    h-index

  5. YA
    Y. Avishai

    Ben-Gurion University of the Negev, Israel

    3 publications · 49 citations

    3

    h-index

1–5 of 432

Institutions

280

  1. Institute of Physics

    Warsaw, Poland

    6 h-index

    8 publications

    1.8K citations

  2. Université Paris Cité

    Paris, France

    6 h-index

    7 publications

    569 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    7 publications

    191 citations

  4. University of Toronto

    Toronto, Canada

    5 h-index

    7 publications

    509 citations

  5. Ben-Gurion University of the Negev

    Beersheba, Israel

    5 h-index

    10 publications

    248 citations

  6. University of Lethbridge

    Lethbridge, Canada

    5 h-index

    11 publications

    735 citations

  7. Université Paris-Sud

    Orsay, France

    4 h-index

    4 publications

    169 citations

  8. Sorbonne Université

    Paris, France

    4 h-index

    4 publications

    443 citations

1–8 of 280

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 10 publications · 834 citations

    10

    h-index

  2. Journal of Algebra

    10 publications · 448 citations

    10

    h-index

  3. arXiv (Cornell University)

    Repository · 11 publications · 181 citations

    10

    h-index

  4. Journal of Functional Analysis

    10 publications · 471 citations

    10

    h-index

  5. Physical review. B, Condensed matter

    PRB · 9 publications · 566 citations

    9

    h-index

1–5