Non-Associative Algebras and Related Topics

Part 1: Lie Algebras, Superalgebras and Groups.- 1.Local derivations of classical simple Lie algebras (S. Ayupov, K. Kudaybergenov).- 2. Examples and patterns on quadratic Lie algebras (P. Benito and J. Roldán-López).- 3. Reductive homogeneous spaces of the compact Lie group G2 (C. Draper and F. J. Palomo).- 4. On certain algebraic structures associated with Lie (super)algebras(N. Kamiya).- 5. Schreier's type formulae and two scales for growth of Lie algebras and groups (V. Petrogradsky).- Part 2: Leibniz Algebras.- 6. Universal central extensions of compatible Leibniz algebras (J.M.C Mirás, M. Ladra).- 7. On some properties of generalized Lie-derivations of Leibniz algebras (J.M.C Mirás, N.P. Rego).- 8. Biderivations of low-dimensional Leibniz algebras (M. Mancini).- 9. Poisson structure on the invariants of pairs of matrices (R. Turdibaev).- Part 3. Associative and Jordan Algebras and Related Structures.- 10. Automorphisms, derivations and gradings of the split quartic Cayley algebra (V. Blasco and A. Daza-García).- 11. On a Theorem of Brauer-Cartan-Hua type in superalgebras (J. Laliena).- 12. Growth functions of Jordan algebras (C. Martínez and E. Zelmanov).- 13. The image of polynomials in one variable on the algebra of 3 × 3 upper triangular matrices (T.C. de Mello and D.Rodrigues).- Part 4: Other Nonassociative Structures.- 14. Simultaneous orthogonalization of inner products over arbitrary ?elds (Y. Cabrera, C. Gil, D. Martín and C. Martín).- 15. Invariant theory of free bicommutative algebras (V. Drensky).- 16. An approach to the classi?cation of ?nite semi?elds by quantum computing (J.M.H. Cáceres, I.F. Rúa).- 17.On ideals and derived and central descending series of n-ary Hom-algebras (A. Kitouni, S. Mboya, E. Ongong'a, S. Silvestrov).- 18. Okubo algebras with isotropic norm (A. Elduque).