001481281 000__ 05593cam\\22005777a\4500 001481281 001__ 1481281 001481281 003__ OCoLC 001481281 005__ 20231031003330.0 001481281 006__ m\\\\\o\\d\\\\\\\\ 001481281 007__ cr\un\nnnunnun 001481281 008__ 231007s2023\\\\sz\\\\\\o\\\\\101\0\eng\d 001481281 019__ $$a1400014084 001481281 020__ $$a9783031320095$$q(electronic bk.) 001481281 020__ $$a3031320093$$q(electronic bk.) 001481281 020__ $$z3031320085 001481281 020__ $$z9783031320088 001481281 0247_ $$a10.1007/978-3-031-32009-5$$2doi 001481281 035__ $$aSP(OCoLC)1401057749 001481281 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX 001481281 049__ $$aISEA 001481281 050_4 $$aQA274.A1$$bS63 2017 001481281 08204 $$a519.2$$223/eng/20231012 001481281 1112_ $$aSPAS (Conference)$$d(2019 :$$cVästerås, Sweden) 001481281 24510 $$aNon-commutative and non-associative algebra and analysis structures :$$bSPAS 2019, Västerås, Sweden, September 30-October 2 /$$cSergei Silvestrov, Anatoliy Malyarenko, editors. 001481281 2463_ $$aSPAS 2019 001481281 260__ $$aCham :$$bSpringer,$$c2023. 001481281 300__ $$a1 online resource (833 p.). 001481281 4901_ $$aSpringer Proceedings in Mathematics and Statistics ;$$vv.426 001481281 500__ $$a8.3.3 Quaternion-Spectral Equivalence 001481281 500__ $$aIncludes indexes. 001481281 5050_ $$aIntro -- Preface -- Contents -- Contributors -- 1 Index of Hom-Lie Algebras -- 1.1 Introduction -- 1.2 Preliminary -- 1.2.1 Hom-Lie Algebras -- 1.2.2 Representations of Hom-Lie Algebras -- 1.3 Index of Hom-Lie Algebras -- 1.3.1 For a Coadjoint Representation -- 1.3.2 For an Arbitrary Representation -- 1.3.3 Index of Twisted Lie Algebras -- 1.3.4 Index of Multiplicative Simple Hom-Lie Algebras -- 1.4 Index of Semidirect Products of Hom-Lie Algebras -- 1.4.1 Coadjoint Representations -- 1.4.2 The Stabilizer of an Arbitrary Point of mathfrakqast -- References 001481281 5058_ $$a2 On Ternary (Hom-)Nambu-Poisson Algebras -- 2.1 Introduction -- 2.2 Ternary Nambu-Poisson Algebras Induced by Poisson Algebras -- 2.2.1 Examples -- 2.2.2 Constructing Poisson and Ternary Nambu-Poisson Algebras from Solvable Lie Algebras -- 2.3 Ternary Hom-Nambu-Poisson Algebras Induced by Hom-Poisson Algebras -- 2.3.1 Examples -- References -- 3 Classification, Centroids and Derivations of Two-Dimensional Hom-Leibniz Algebras -- 3.1 Introduction -- 3.2 Hom-Leibniz Algebras and Superalgebras -- 3.3 Symmetric (Two-Sided) Hom-Leibniz Superalgebras 001481281 506__ $$aAccess limited to authorized users. 001481281 520__ $$aThe goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Vsters, 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, quantum deformations 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. 001481281 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 12, 2023). 001481281 650_0 $$aStochastic processes$$vCongresses. 001481281 650_0 $$aNoncommutative algebras$$vCongresses. 001481281 650_0 $$aNonassociative algebras$$vCongresses. 001481281 655_0 $$aElectronic books. 001481281 7001_ $$aSilvestrov, Sergei D. 001481281 7001_ $$aMalyarenko, Anatoliy. 001481281 77608 $$iPrint version:$$aSilvestrov, Sergei$$tNon-Commutative and Non-associative Algebra and Analysis Structures$$dCham : Springer International Publishing AG,c2023$$z9783031320088 001481281 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 426. 001481281 852__ $$bebk 001481281 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-32009-5$$zOnline Access$$91397441.1 001481281 909CO $$ooai:library.usi.edu:1481281$$pGLOBAL_SET 001481281 980__ $$aBIB 001481281 980__ $$aEBOOK 001481281 982__ $$aEbook 001481281 983__ $$aOnline 001481281 994__ $$a92$$bISE