Algebra, Geometry and Mathematical Physics

Table of Contents

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   Book Overview
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   Chapter 1 Poincaré Duality for Koszul Algebras
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   Chapter 2 Quantized Reduced Fusion Elements and Kostant’s Problem
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   Chapter 3 Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras
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   Chapter 4 Burchnall-Chaundy Theory for Ore Extensions
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   Chapter 5 Homotopy Commutative Algebra and 2-Nilpotent Lie Algebra
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   Chapter 6 Subalgebra Depths Within the Path Algebra of an Acyclic Quiver
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   Chapter 7 Lie Algebras with Given Properties of Subalgebras and Elements
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   Chapter 8 Construction of Symplectic Quadratic Lie Algebras from Poisson Algebras
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    Chapter 9 Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
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    Chapter 10 A Review of Peirce Decomposition for Unitary $$(-1,-1)$$ -Freudenthal Kantor Triple Systems
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    Chapter 11 Universal Algebra Applied to Hom-Associative Algebras, and More
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    Chapter 12 Constructions of Quadratic $$n$$ -ary Hom-Nambu Algebras
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    Chapter 13 A Comparison of Leibniz and Lie Cohomology and Deformations
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    Chapter 14 Rigid Current Lie Algebras
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    Chapter 15 Deformations of Diagrams
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    Chapter 16 Noncommutative Algebraic Varieties
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    Chapter 17 Computing Noncommutative Deformations
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    Chapter 18 Geometric Classification of 4-Dimensional Superalgebras
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    Chapter 19 Distributivity in Quandles and Quasigroups
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    Chapter 20 Torsors and Ternary Moufang Loops Arising in Projective Geometry
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    Chapter 21 Graded $$q$$ -Differential Polynomial Algebra of Connection Form
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    Chapter 22 Double Category Related to Path Space Parallel Transport and Representations of Lie 2 Groups
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    Chapter 23 Differential Geometry of Microlinear Frölicher Spaces IV-1
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    Chapter 24 A Note on Jet and Geometric Approach to Higher Order Connections
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    Chapter 25 Classification of Principal Connections on $${\widetilde{W}}^2PE$$
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    Chapter 26 The Generic Rank of A -Planar Structures
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    Chapter 27 Geometric Approach to Ghost Fields
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    Chapter 28 On Sinyukov’s Equations in Their Relation to a Curvature Operator of Second Kind
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    Chapter 29 On Dimensions of Vector Spaces of Conformal Killing Forms
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    Chapter 30 Causality from Dynamical Symmetry: An Example from Local Scale-Invariance
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    Chapter 31 Reaction-Diffusion Systems with Constant Diffusivities: Conditional Symmetries and Form-Preserving Transformations
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    Chapter 32 Solution to the Inverse Problem of Reconstructing Permittivity of an $$n$$ -Sectional Diaphragm in a Rectangular Waveguide
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    Chapter 33 Some Conservation Laws for a Class of Hamilton-Jacobi-Bellman Equations
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    Chapter 34 Self-Adjointness and Conservation Laws for a Generalized Dullin-Gottwald-Holm Equation
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    Chapter 35 Semi Analytical Solutions of a Heat-Mass Transfer Problem Via Group Theoretic Approach
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    Chapter 36 Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels
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    Chapter 37 Invariance and Symmetries of Cubic and Ternary Algebras
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    Chapter 38 Calculation of Decay Times for Simple Modules
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    Chapter 39 On the Detection of Permutation Polynomials
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    Chapter 40 Scalar-Tensor and Multiscalar-Tensor Gravity and Cosmological Models
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    Chapter 41 The Other Half of Quantum Geometry: A First Glimpse