Algebra, Geometry and Mathematical Physics (eBook)

Part I Algebra: Poincaré duality for Koszul algebras: M.Dubois-Violette.- Poincaré duality for Koszul algebras: M. Dubois-Violette.- Quantized reduced fusion elements and Kostant’s problem: E. Karolinsky et al.- Commutants and centers in a 6-parameter family of quadratically linked quantum plane algebras: F. Ekström et al.- Burchnall-Chaundy theory for Ore extensions: J. Richter.- Homotopy commutative algebra and 2-nilpotent Lie algebra: M. Dubois-Violette et al.- Subalgebra depths within the path algebra of an acyclic quiver: L. Kadison et al.- Lie algebras with given properties of subalgebras and elements: P. Zusmanovich.- Construction of symplectic quadratic Lie algebras from Poisson algebras: S. Benayadi.- Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras: J. Arnlind et al.- A review of Peirce decomposition for unitary (−1,−1)-Freudenthal Kantor triple systems: N. Kamiya et al.- Universal Algebra Applied to Hom-Associative Algebras and More: L. Hellström et al.- Constructions of Quadratic n-ary Hom-Nambu algebras: F. Ammar et al.- A comparison of Leibniz and Lie cohomology and deformations: A. Fialowski.- Rigid current Lie algebras: E. Remm et al.- Deformations of Diagrams: A. Siqveland.- Noncommutative Algebraic Varieties: A. Siqveland.- Computing noncommutative deformations: E. Eriksen.- Geometric Classification of 4-Dimensional Superalgebras: A. Armour et al.- Distributivity in Quandles and Quasigroups: M. Elhamdadi.- Part II Geometry: Torsors and ternaryMoufang loops arising in projective geometry: W. Bertram.-  Graded q-differential polynomial algebra of connection form: V. Abramov et al.- Double category related to path space parallel transport and representations of Lie 2 groups: S. Chatterjee et al.- A note on jet and geometric approach to higher order connections: M. Rahula et al.- Classification of principal connections on]W 2PE: J. Vondra.- The generic rank of A–planar structures: J. Hrdina.- Geometric Approach to Ghost Fields: V. Abramov et al.- On Sinyukov’s equations in their relation to a curvature operator of second kind: I. Hinterleitner et al.- On dimensions of vector spaces of conformal Killing forms: S. E. Stepanov.- Part III Dynamical Symmetries and Conservation Laws: Causality from dynamical symmetry: an example from local scale-invariance: M. Henkel.- Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations: C. Roman et al.- Solution to the inverse problem of reconstructing permittivity of an n-sectional diaphragm in a rectangular waveguide: Yu. G. Smirnov et al.- Some conservation laws for a class of Hamilton-Jacobi-Bellman equations: M.L. Gandarias et al.- Self-adjointness and conservation laws for a Generalized Dullin-Gottwald-Holm equation: M. S. Bruzón et al.- Semi analytical Solutions of a Heat-Mass Transfer Problem via Group Theoretic Approach: M.B. Abd-el-Malek et al.- Part IV Mathematical Physics and Applications: Realizations of Affine Lie Algebra A(1) 1 at Negative Levels: J. Dong et al.- Invariance and symmetries of cubic and ternary algebras: R. Kerner.- Calculation of Decay Times for Simple Modules: O. Gravir Imenes.- On the Detection of Permutation Polynomials: M. Gharibah.- Scalar-tensor and multiscalar-tensor gravity and cosmological models: P. Kuusk et al.- Index.