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This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.

Algebra --- Geometry --- Mathematical physics --- Algebra. --- Global differential geometry. --- Topological Groups. --- Engineering mathematics. --- Differential Geometry. --- Theoretical, Mathematical and Computational Physics. --- Non-associative Rings and Algebras. --- Topological Groups, Lie Groups. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Groups, Topological --- Continuous groups --- Geometry, Differential --- Mathematics --- Differential geometry. --- Mathematical physics. --- Nonassociative rings. --- Rings (Algebra). --- Topological groups. --- Lie groups. --- Applied mathematics. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Physical mathematics --- Physics --- Differential geometry

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This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.

Ordered algebraic structures --- Algebra --- Differential geometry. Global analysis --- Topological groups. Lie groups --- Mathematics --- Mathematical physics --- Applied physical engineering --- Engineering sciences. Technology --- algebra --- analyse (wiskunde) --- topologie (wiskunde) --- differentiaal geometrie --- theoretische fysica --- economie --- wiskunde --- ingenieurswetenschappen --- geometrie

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