Algebra, Geometry and Mathematical Physics: AGMP, Mulhouse, France, October 2011

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Poincaré Duality for Koszul Algebras....Pages 3-26
Quantized Reduced Fusion Elements and Kostant’s Problem....Pages 27-36
Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras....Pages 37-59
Burchnall-Chaundy Theory for Ore Extensions....Pages 61-70
Homotopy Commutative Algebra and 2-Nilpotent Lie Algebra....Pages 71-81
Subalgebra Depths Within the Path Algebra of an Acyclic Quiver....Pages 83-97
Lie Algebras with Given Properties of Subalgebras and Elements....Pages 99-109
Construction of Symplectic Quadratic Lie Algebras from Poisson Algebras....Pages 111-122
Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras....Pages 123-144
A Review of Peirce Decomposition for Unitary $$(-1,-1)$$ -Freudenthal Kantor Triple Systems....Pages 145-155
Universal Algebra Applied to Hom-Associative Algebras, and More....Pages 157-199
Constructions of Quadratic $$n$$ -ary Hom-Nambu Algebras....Pages 201-232
A Comparison of Leibniz and Lie Cohomology and Deformations....Pages 233-246
Rigid Current Lie Algebras....Pages 247-258
Deformations of Diagrams....Pages 259-274
Noncommutative Algebraic Varieties....Pages 275-283
Computing Noncommutative Deformations....Pages 285-290
Geometric Classification of 4-Dimensional Superalgebras....Pages 291-323
Distributivity in Quandles and Quasigroups....Pages 325-340
Front Matter....Pages 341-341
Torsors and Ternary Moufang Loops Arising in Projective Geometry....Pages 343-360
Front Matter....Pages 341-341
Graded $$q$$ -Differential Polynomial Algebra of Connection Form....Pages 361-377
Double Category Related to Path Space Parallel Transport and Representations of Lie 2 Groups....Pages 379-391
Differential Geometry of Microlinear Frölicher Spaces IV-1....Pages 393-443
A Note on Jet and Geometric Approach to Higher Order Connections....Pages 445-455
Classification of Principal Connections on $${\\widetilde{W}}^2PE$$ ....Pages 457-466
The Generic Rank of A -Planar Structures....Pages 467-473
Geometric Approach to Ghost Fields....Pages 475-488
On Sinyukov’s Equations in Their Relation to a Curvature Operator of Second Kind....Pages 489-494
On Dimensions of Vector Spaces of Conformal Killing Forms....Pages 495-507
Front Matter....Pages 509-509
Causality from Dynamical Symmetry: An Example from Local Scale-Invariance....Pages 511-531
Reaction-Diffusion Systems with Constant Diffusivities: Conditional Symmetries and Form-Preserving Transformations....Pages 533-553
Solution to the Inverse Problem of Reconstructing Permittivity of an $$n$$ -Sectional Diaphragm in a Rectangular Waveguide....Pages 555-566
Some Conservation Laws for a Class of Hamilton-Jacobi-Bellman Equations....Pages 567-576
Self-Adjointness and Conservation Laws for a Generalized Dullin-Gottwald-Holm Equation....Pages 577-586
Semi Analytical Solutions of a Heat-Mass Transfer Problem Via Group Theoretic Approach....Pages 587-600
Front Matter....Pages 601-601
Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels....Pages 603-616
Invariance and Symmetries of Cubic and Ternary Algebras....Pages 617-637
Calculation of Decay Times for Simple Modules....Pages 639-650
On the Detection of Permutation Polynomials....Pages 651-660
Scalar-Tensor and Multiscalar-Tensor Gravity and Cosmological Models....Pages 661-672
Front Matter....Pages 601-601
The Other Half of Quantum Geometry: A First Glimpse....Pages 673-679
Back Matter....Pages 681-684