Overview
- Includes papers from academics and practitioners
- Concepts in the book are illustrated by a multitude of examples
- Stimulate the reader by including many open problems
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 426)
Included in the following conference series:
Conference proceedings info: SPAS 2019.
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Table of contents (30 papers)
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Front Matter
Other volumes
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Stochastic Processes, Statistical Methods, and Engineering Mathematics
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Non-commutative and Non-associative Algebra and Analysis Structures
Keywords
About this book
The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks:
1. Stochastic processes and modern statistical methods in theory and practice,
2. Engineering Mathematics,
3. Algebraic Structures and applications.This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantumdeformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-special functions and q-analysis, topology, dynamical systems, representation theory, operator theory and functional analysis, applications of algebraic structures in coding theory, information analysis, geometry and probability theory.
The book gathers selected, high-quality contributed chapters from several large research communities working on modern algebraic structures and their applications. The chapters cover both theory and applications, and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and results on the interplay of algebraic structures with other parts of Mathematics. The applications help readers grasp the material, and encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, open problems, and directions for future research, will serve as a source of inspiration for a broad range of researchers and students.
Editors and Affiliations
Bibliographic Information
Book Title: Non-commutative and Non-associative Algebra and Analysis Structures
Book Subtitle: SPAS 2019, Västerås, Sweden, September 30–October 2
Editors: Sergei Silvestrov, Anatoliy Malyarenko
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-031-32009-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-32008-8Published: 26 September 2023
Softcover ISBN: 978-3-031-32011-8Due: 27 October 2023
eBook ISBN: 978-3-031-32009-5Published: 25 September 2023
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVII, 831
Number of Illustrations: 17 b/w illustrations, 6 illustrations in colour
Topics: General Algebraic Systems, Commutative Rings and Algebras, Non-associative Rings and Algebras, Operator Theory, Probability Theory and Stochastic Processes, Abstract Harmonic Analysis