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.
Chapter
1. Adimi, H., Makhlouf, A.: Index of Hom-Lie algebras.
Chapter
2. Amri, H., Makhlouf, A.: On ternary (Hom-)Nambu-Poisson algebras.
Chapter
3. Alekseev, A., Arutyunov, A., Silvestrov, S.: On (,)-derivations of group
algebra as category characters.
Chapter
4. Armakan, A., Silvestrov,
S.: Color hom-Lie algebras, color hom-Leibniz algebras and color omni-hom-Lie
algebras.
Chapter 5. Armakan, A., Silvestrov, S.: Killing Forms on color
Hom-Lie algebras.
Chapter
6. Bakayoko, I., Silvestrov,
S.: Hom-prealternative superalgebras.
Chapter
7. Ilwoo, C., Jorgensen,
P.E.T: Spectral Analysis of Equations over Quaternions.
Chapter
8. Djinja,
D., Silvestrov, S., Behakanira Tumwesigye, A.: Multiplication and linear
integral operators on Lp spaces representing polynomial covariant type
commutation relations.
Chapter 9. Djinja, D., Silvestrov, S., Behakanira
Tumwesigye, A.: Representations of polynomial covariant type commutation
relations bypiecewise function multiplication and composition operators.-
Chapter
10. Ernst, T.: On generalized q-hyperbolic functions in the spirit of
Kapteyn, with corresponding q-Lie group.
Chapter
11. Hounkonnou, M.N.,
Houndedji, G.D., Silvestrov, S.: Double constructions of biHom-Frobenius
algebras.
Chapter
12. Kitouni, A., Silvestrov, S.: On Classification of
(n+1)-dimensional n-Hom-Lie Algebras with nilpotent twisting maps.
Chapter
13. Kitouni, A., Silvestrov, S.: On the Classification of (n+1)-dimensional
n-Hom-Lie Algebras for n=4,5,6 and nilpotent twisting map with 2-dimensional
kernel.
Chapter
14. Langlois-Rémillard, A.: Deforming algebras with
anti-involution via twisted associativity.
Chapter
15. Muhumuza, A.K.,
Mango, J.M., Kakuba, G., Lundengard, K., Malyarenko, A., Silvestrov, S.: The
Wishart Distribution on Symmetric cones.
Chapter
16. Muhumuza, A.K.,
Silvestrov, S.: Symmetric Group Properties of Extreme Points of Vandermonde.-
Chapter
17. Tumwesigye, A.B., Silvestrov, S.: Commutants in Crossed Products
for Piecewise Constant Function Algebras Related to Multiresolution
Analysis.
Chapter
18. Gomez-Olvera, M.D., Lopez-Ramos, J.A., Torrecillas,
B.: Secure Group Communications using Twisted Group Rings.
Chapter
19.
Prakasj, O., Islam, H., Verma, R.K.: Constacyclic and skew constacyclic codes
over a finite commutative non-chain ring.
Chapter
20. Waweru, D.K., Maingi,
D.M: Two-Sided Noncommutative Gröbner Basis on Quiver Algebras.
Chapter
21.
Silvestrov, S., Rajkovic, P.M., Marinkovic, S.D.: Wallis type formula and a
few versions of the number p in q-calculus.
Chapter
22. Silvestrov, S.,
Rajkovic, P.M.: On the q-Rodrigues formula - New Form for Fast Computing.-
Chapter
23. Silvestrov, S., Zargeh, C.: HNN-extension of involutive
multiplicative Hom-Lie algebras.
Chapter
24. Tanana, B., Cassy, B.,
Silvestrov, S.: About compact monothetic semirings and compact monothetic
C-semirings.
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