World's Best Scientists 2026 revealed!
Algebras and Representation Theory
H-index 5

Algebras and Representation Theory

1386-923X

Published by: Springer

https://www.springer.com/journal/10468

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 496 17 21 5

Additional Metrics

Number of Best Scientists*: 19
Documents by Best Scientists*: 23
Top 100 Ranked Scientists*: 0
SCIMAGO H-index: 33
SCIMAGO SJR: 0.745
Impact Factor: 0.6

Overview

Top Research Topics at Algebras and Representation Theory?

Algebras and Representation Theory generally zeroes in on subjects such as Pure mathematics, Discrete mathematics, Combinatorics, Algebra and Type (model theory). The journal focused on Pure mathematics research but expanded to cover Ring (mathematics). While the journal focused on Discrete mathematics, it was also able to explore topics like Abelian group, Subalgebra and Field (mathematics).

The research on Combinatorics featured in it combines topics in other fields like Group (mathematics) and Finite group. Algebras and Representation Theory focuses on Algebra as well as the interrelated topic of Algebra representation. Algebra representation studies presented include Cellular algebra and Division algebra.

Topics in Hopf algebra were tackled in line with various other fields like Quasitriangular Hopf algebra, Quantum group and Representation theory of Hopf algebras. The journal connects the study in Lie algebra with the closely related area of Simple (abstract algebra).

  • Pure mathematics (59.17%)
  • Discrete mathematics (30.42%)
  • Combinatorics (24.50%)

What are the most cited papers published in the journal?

  • Nonstable K -theory for Graph Algebras (325 citations)
  • Representations of Hom-Lie Algebras (216 citations)
  • The Structure of Corings: Induction Functors, Maschke-Type Theorem, and Frobenius and Galois-Type Properties (149 citations)

Research areas of the most cited articles at Algebras and Representation Theory:

The published articles investigate studies in Pure mathematics, Discrete mathematics, Algebra, Combinatorics and Hopf algebra. The study of Pure mathematics in the journal publications encompasses disciplines such as Ring (mathematics), as well as fields such as Endomorphism, all of which overlap with one another. The Discrete mathematics research tackled in the most cited articles is interrelated with Quiver which concerns subjects like Type (model theory) and Bounded function.

What topics the last edition of the journal is best known for?

  • Algebra
  • Pure mathematics
  • Vector space

The previous edition focused in particular on these issues:

Algebras and Representation Theory investigates studies in Pure mathematics, Combinatorics, Type (model theory), Quiver and Simple (abstract algebra). The in-depth study on Pure mathematics also explores topics in the intersecting field of Variety (universal algebra). The concepts on Combinatorics presented in Algebras and Representation Theory can also apply to other research fields, including Basis (universal algebra) and Field (mathematics).

The presented research on Field (mathematics) deals specifically with Abelian group but it also addresses topics in Zero (complex analysis). Quiver research featured in the journal incorporates concerns from various other topics such as Space (mathematics), Class (set theory), Cohomology and Indecomposable module. The work tackled in the journal goes beyond the discipline of Simple (abstract algebra) as it also encompasses Simple module.

The most cited articles from the last journal are:

  • The Algebraic and Geometric Classification of Nilpotent Assosymmetric Algebras (26 citations)
  • Double Quasi-Poisson Brackets: Fusion and New Examples (5 citations)
  • Lusztig Data of Kashiwara-Nakashima Tableaux in Type D (5 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Algebras and Representation Theory (based on the number of publications) are:

  • Mark L. Lewis (8 papers) absent at the last edition,
  • Karin Erdmann (7 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Sean Sather-Wagstaff (7 papers) published 3 papers at the last edition,
  • Stefaan Caenepeel (7 papers) absent at the last edition,
  • Edward L. Green (6 papers) published 1 paper at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Algebras and Representation Theory (based on the number of publications) are:

  • University of Bucharest (24 papers) absent at the last edition,
  • Tsinghua University (18 papers) published 2 papers at the last edition,
  • Vrije Universiteit Brussel (16 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • University of Antwerp (15 papers) absent at the last edition,
  • University of Stuttgart (15 papers) published 4 papers at the last edition, 3 more than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 7.59% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 11.94% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.70% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 9.70% of all publications and 68.66% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Classification of Super-Modular Categories by Rank

    Paul Bruillard;César Galindo;Siu-Hung Ng;Julia Yael Plavnik

    (2020)
    113 Citations
  • Generalized Oscillator Representations of the Twisted Heisenberg-Virasoro Algebra

    Rencai Lü;Kaiming Zhao;Kaiming Zhao

    (2020)
    39 Citations
  • On the Number of Characters in Blocks of Quasi-simple Groups

    Gunter Malle

    (2020)
    9 Citations
  • On the Generalized Cartan Matrices Arising from k-th Yau Algebras of Isolated Hypersurface Singularities

    Naveed Hussain;Naveed Hussain;Stephen S.-T. Yau;Huaiqing Zuo

    (2021)
    8 Citations
  • Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV. Unipotent Classes in Chevalley and Steinberg Groups

    Nicolás Andruskiewitsch;Giovanna Carnovale;Gastón Andrés García

    (2020)
    8 Citations
  • On Modules M such that both M and M∗ are Semi-Gorenstein-Projective

    Claus Michael Ringel;Pu Zhang

    (2021)
    5 Citations
  • The Trace Field Theory of a Finite Tensor Category

    (2021)
    5 Citations
  • An Algebraic Analogue of Exel–Pardo C ∗ -Algebras

    Roozbeh Hazrat;David Pask;Adam Sierakowski;Aidan Sims

    (2021)
    4 Citations
  • Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras

    (2020)
    4 Citations
  • Finite Noncommutative Geometries Related to Fp[x]$\mathbb {F}_{p}[x]$

    M. E. Bassett;S. Majid

    (2020)
    2 Citations

Related Online Degrees & Career Pathways

Exploring a Mathematics degree often opens doors to diverse career opportunities, but students might also consider complementary fields to broaden their skill sets. For example, pursuing an online sports management degree can blend analytical skills with leadership, appealing to those interested in sports administration and analytics.

Students focused on deepening their mathematical expertise can find some of the best programs by checking out the online mathematics degree options available. These programs are tailored for flexibility, making it easier to balance studies with professional demands.

For math graduates aiming to advance into business leadership, an MBA is a valuable next step. Identifying the easiest MBA program to get into can help streamline the application process while gaining essential managerial skills. Additionally, accelerated learning paths such as the fastest MBA programs online provide flexible, time-efficient options suitable for working professionals.

Understanding these related online degrees and career pathways allows students to make informed decisions that align with their goals, combining mathematics knowledge with practical management and specialized areas.

Best Scientists Contributing to This Journal