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Algebraic Structures and Applications

SPAS 2017, Västerås and Stockholm, Sweden, October 4-6

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Sergei Silvestrov

    1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

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  2. Anatoliy Malyarenko

    1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

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  3. Milica Rančić

    1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

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  • Addresses both theory and applications
  • Features mathematical methods and models applied to important problems in science and engineering
  • Presents high-quality, peer-reviewed contributed chapters that share a wealth of new methods and results, review cutting-edge research, and discuss open problems and directions for future research
  • Offers a source of inspiration for a broad range of researchers and research students whose work involves mathematics and its applications in other subjects

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 317)

Included in the following conference series:

Conference proceedings info: SPAS 2017.

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Table of contents (40 papers)

  1. Front Matter

    Pages i-xxx
    Download chapter PDF

  2. Weil Algebra, 3-Lie Algebra and B.R.S. Algebra

    • Viktor Abramov
    Pages 1-12

  3. Algebras with Ternary Composition Law Combining \(\mathrm {Z_2}\) and \(\mathrm {Z_3}\) Gradings

    • Viktor Abramov, Richard Kerner, Olga Liivapuu
    Pages 13-45

  4. Ternary Lie Superalgebras and Nambu-Hamilton Equation in Superspace

    • Viktor Abramov, Priit Lätt
    Pages 47-80

  5. Generalized Derivations of n-BiHom-Lie Algebras

    • Amine Ben Abdeljelil, Mohamed Elhamdadi, Ivan Kaygorodov, Abdenacer Makhlouf
    Pages 81-97

  6. On n-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras

    • Abdennour Kitouni, Sergei Silvestrov, Abdenacer Makhlouf
    Pages 99-126

  7. On Solvability and Nilpotency for n-Hom-Lie Algebras and \((n+1)\)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras

    • Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov
    Pages 127-157

  8. Multiplicative n-Hom-Lie Color Algebras

    • Ibrahima Bakayoko, Sergei Silvestrov
    Pages 159-187

  9. On Classification of Filiform Hom-Lie Algebras

    • Abdenacer Makhlouf, Mourad Mehidi
    Pages 189-221

  10. Classification of Low-Dimensional Hom-Lie Algebras

    • Elvice Ongong’a, Johan Richter, Sergei Silvestrov
    Pages 223-256

  11. Enveloping Algebras of Certain Types of Color Hom-Lie Algebras

    • Abdoreza Armakan, Sergei Silvestrov
    Pages 257-284

  12. A Review on Hom-Gerstenhaber Algebras and Hom-Lie Algebroids

    • Satyendra Kumar Mishra, Sergei Silvestrov
    Pages 285-315

  13. Strong Hom-Associativity

    • Lars Hellström
    Pages 317-337

  14. On Hom-Yetter-Drinfeld Category

    • Tianshui Ma, Sergei Silvestrov, Huihui Zheng
    Pages 339-358

  15. On the Classification of f-Quandles

    • Indu Rasika Churchill, Mohamed Elhamdadi, Nicolas Van Kempen
    Pages 359-369

  16. Noncommutatively Graded Algebras

    • Patrik Nystedt
    Pages 371-383

  17. Differential Calculi on Associative Algebras and Integrable Systems

    • Aristophanes Dimakis, Folkert Müller-Hoissen
    Pages 385-410

  18. The Jacobian Conjecture\(_{2n}\) Implies the Dixmier Problem\(_n\)

    • Vladimir V. Bavula
    Pages 411-426

  19. Commutants in Crossed Product Algebras for Piecewise Constant Functions on the Real Line

    • Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov
    Pages 427-444

  20. Ore Extensions of Function Algebras

    • Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov
    Pages 445-467
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Other volumes

  1. Stochastic Processes and Applications

  2. Algebraic Structures and Applications

Keywords

About this book

This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. 

The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.


Editors and Affiliations

  • Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov, Anatoliy Malyarenko, Milica Rančić

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