Algebraic Structures and Applications
SPAS 2017, Västerås and Stockholm, Sweden, October 4-6
Editors: Silvestrov, Sergei, Malyarenko, Anatoliy, Rancic, Milica (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (40 chapters)
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Weil Algebra, 3-Lie Algebra and B.R.S. Algebra
Pages 1-12
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Algebras with Ternary Composition Law Combining $$\mathrm {Z_2}$$ and $$\mathrm {Z_3}$$ Gradings
Pages 13-45
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Ternary Lie Superalgebras and Nambu-Hamilton Equation in Superspace
Pages 47-80
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Generalized Derivations of n-BiHom-Lie Algebras
Pages 81-97
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On n-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras
Pages 99-126
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Table of contents (40 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Algebraic Structures and Applications
- Book Subtitle
- SPAS 2017, Västerås and Stockholm, Sweden, October 4-6
- Editors
-
- Sergei Silvestrov
- Anatoliy Malyarenko
- Milica Rancic
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 317
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-41850-2
- DOI
- 10.1007/978-3-030-41850-2
- Hardcover ISBN
- 978-3-030-41849-6
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XXX, 968
- Number of Illustrations
- 36 b/w illustrations, 28 illustrations in colour
- Topics