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Algebra, Geometry and Mathematical Physics

AGMP, Mulhouse, France, October 2011

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Abdenacer Makhlouf

    1. Informatique et Applications, Université of Haute Alsace, Laboratoire de Mathématiques, Mulhouse, France

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  2. Eugen Paal

    1. Tallinn University of Technology, Dept. Mathematics, Tallinn, Estonia

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  3. Sergei D. Silvestrov

    1. Culture and Communication (UKK) Division of Applied Mathematics, Mälardalen University, The School of Education, Västerås, Sweden

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  4. Alexander Stolin

    1. Dept. Mathematical Sciences, University of Göteborg, Göteborg, Sweden

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 85)

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Table of contents (41 papers)

  1. Front Matter

    Pages i-xviii
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  2. Algebra

    1. Front Matter

      Pages 1-1
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    2. Poincaré Duality for Koszul Algebras

      • Michel Dubois-Violette
      Pages 3-26

    3. Quantized Reduced Fusion Elements and Kostant’s Problem

      • Eugene Karolinsky, Alexander Stolin, Vitaly Tarasov
      Pages 27-36

    4. Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras

      • Fredrik Ekström, Sergei D. Silvestrov
      Pages 37-59

    5. Burchnall-Chaundy Theory for Ore Extensions

      • Johan Richter
      Pages 61-70

    6. Homotopy Commutative Algebra and 2-Nilpotent Lie Algebra

      • Michel Dubois-Violette, Todor Popov
      Pages 71-81

    7. Subalgebra Depths Within the Path Algebra of an Acyclic Quiver

      • Lars Kadison, Christopher J. Young
      Pages 83-97

    8. Lie Algebras with Given Properties of Subalgebras and Elements

      • Pasha Zusmanovich
      Pages 99-109

    9. Construction of Symplectic Quadratic Lie Algebras from Poisson Algebras

      • Saïd Benayadi
      Pages 111-122

    10. Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

      • Joakim Arnlind, Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov
      Pages 123-144

    11. A Review of Peirce Decomposition for Unitary \((-1,-1)\)-Freudenthal Kantor Triple Systems

      • Noriaki Kamiya, Daniel Mondoc, Susumu Okubo
      Pages 145-155

    12. Universal Algebra Applied to Hom-Associative Algebras, and More

      • Lars Hellström, Abdenacer Makhlouf, Sergei D. Silvestrov
      Pages 157-199

    13. Constructions of Quadratic \(n\)-ary Hom-Nambu Algebras

      • Faouzi Ammar, Sami Mabrouk, Abdenacer Makhlouf
      Pages 201-232

    14. A Comparison of Leibniz and Lie Cohomology and Deformations

      • Alice Fialowski
      Pages 233-246

    15. Rigid Current Lie Algebras

      • Elisabeth Remm, Michel Goze
      Pages 247-258

    16. Deformations of Diagrams

      • Arvid Siqveland
      Pages 259-274

    17. Noncommutative Algebraic Varieties

      • Arvid Siqveland
      Pages 275-283

    18. Computing Noncommutative Deformations

      • Eivind Eriksen
      Pages 285-290

    19. Geometric Classification of 4-Dimensional Superalgebras

      • Aaron Armour, Yinhuo Zhang
      Pages 291-323
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Keywords

About this book

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.

Editors and Affiliations

  • Informatique et Applications, Université of Haute Alsace, Laboratoire de Mathématiques, Mulhouse, France

    Abdenacer Makhlouf

  • Tallinn University of Technology, Dept. Mathematics, Tallinn, Estonia

    Eugen Paal

  • Culture and Communication (UKK) Division of Applied Mathematics, Mälardalen University, The School of Education, Västerås, Sweden

    Sergei D. Silvestrov

  • Dept. Mathematical Sciences, University of Göteborg, Göteborg, Sweden

    Alexander Stolin

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