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Sergei Silvestrov

Sergei Silvestrov

D-Index & Metrics

Mathematics

D-Index
30
Citations
5762
World Ranking
3446
National Ranking
28

Overview

Sergei Silvestrov is affiliated with Mälardalen University in Sweden and has contributed extensively to the field of mathematics, particularly focusing on algebra and number theory. Their research spans a wide range of mathematical disciplines with a strong emphasis on algebraic structures, geometry, and applied mathematics.

Silvestrov's main fields of study concentrate primarily on Mathematics, with the most significant subfields including:

  • Algebra and Number Theory
  • Geometry and Topology
  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics

Their research topics cover various advanced aspects of algebra and geometry, including:

  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Fixed Point Theorems Analysis
  • Advanced Algebra and Geometry
  • Finite Group Theory Research
  • Rings, Modules, and Algebras
  • Holomorphic and Operator Theory

Frequently published in prominent venues, Silvestrov's work appears mainly in:

  • arXiv (Cornell University)
  • Springer proceedings in mathematics & statistics
  • Afrika Matematika
  • Communications in Algebra
  • Advances in Applied Clifford Algebras

Notable recent publications include:

  • "Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras" (2021), published in Advances in Applied Clifford Algebras
  • "Rota-Baxter cosystems and coquasitriangular mixed bialgebras" (2020), published in Journal of Algebra and Its Applications
  • "3-Hom-Lie Algebras Based on $$\sigma$$-Derivation and Involution" (2020), published in Advances in Applied Clifford Algebras
  • "Multiplicative n-Hom-Lie Color Algebras" (2020), published in Springer proceedings in mathematics & statistics
  • "A Review on Hom-Gerstenhaber Algebras and Hom-Lie Algebroids" (2020), published in Springer proceedings in mathematics & statistics

Sergei Silvestrov collaborates frequently with other researchers, including:

  • Talat Nazir
  • Alex Behakanira Tumwesigye
  • Sami Mabrouk
  • Abdennour Kitouni
  • Domingos Djinja

In addition to articles, Silvestrov has contributed to book publications with Springer International Publishing. Two notable titles are:

  • "Stochastic Processes, Statistical Methods, and Engineering Mathematics" (2022)
  • "Algebraic Structures and Applications" (2020)

Best Publications

  • Deformations of Lie Algebras using σ-Derivations

    Jonas T. Hartwig;Daniel Larsson;Sergei D. Silvestrov

  • Hom-algebra structures

    Abdenacer Makhlouf;Sergei D. Silvestrov

  • Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities

    Daniel Larsson;Sergei D. Silvestrov

  • Hom-algebras and Hom-coalgebras

    Abdenacer Makhlouf;Sergei Silvestrov

  • Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras

    Abdenacer Makhlouf;Sergei Silvestrov

  • Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$ arvec{\mathscr {D'}}(\mathbb {C})$$

    Emanuel Guariglia;Emanuel Guariglia;Sergei Silvestrov

  • Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras

    Abdenacer Makhlouf;Sergei Silvestrov

  • Quasi-Deformations of sl2(F) Using Twisted Derivations

    Daniel Larsson;Sergei D. Silvestrov

  • Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras

    Abdenacer Makhlouf;Sergei Silvestrov

  • Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras

    Abdenacer Makhlouf;Sergei Silvestrov

  • Quasi-Lie algebras

    Daniel Larsson;Sergei Silvestrov

  • Generalization of n-ary Nambu algebras and beyond

    Hammimi Ataguema;Abdenacer Makhlouf;Sergei Silvestrov

  • Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras

    Joakim Arnlind;Abdenacer Makhlouf;Sergei Silvestrov

  • Commuting Elements in Q-Deformed Heisenberg Algebras

    Lars Hellström;Sergei D. Silvestrov

  • Graded quasi-Lie algebras

    Daniel Larsson;Sergei D. Silvestrov

  • Quasi-Lie algebras

    Unknown

  • Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras

    Joakim Arnlind;Abdenacer Makhlouf;Sergei Silvestrov

  • Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

    Joakim Arnlind;Abdennour Kitouni;Abdenacer Makhlouf;Sergei Silvestrov

  • Graded quasi-Lie algebras of Witt type

    Gunnar Sigurdsson;Sergei D. Silvestrov

  • Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions

    Gunnar Sigurdsson;Sergei Silvestrov

  • Unital algebras of Hom-associative type and surjective or injective twistings

    Yael Fregier;Aron Gohr;Sergei Silvestrov

  • Representations and Cocycle Twists of Color Lie Algebras

    X. W. Chen;X. W. Chen;Sergei Silvestrov;F. Van Oystaeyen

  • Generalized lie theory in mathematics, physics and beyond

    Sergei Silvestrov;Eugen Paal;Viktor Abramov;Alexander Stolin

  • Quasi-Deformations of sl_2(\F) using twisted derivations

    Daniel Larsson;Sergei D. Silvestrov

Frequent Co-Authors

Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Mujahid Abbas
Mujahid Abbas University of Pretoria
Jaak Peetre
Jaak Peetre Lund University
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
David W. Kribs
David W. Kribs University of Guelph
Ola Bratteli
Ola Bratteli University of Oslo

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