Affine Kac-Moody algebras, integrable systems and their deformations
Edward Frenkel
TL;DR
This paper discusses the structure and properties of affine Kac-Moody algebras, their role in integrable systems, and explores possible deformations, providing insights into their mathematical and physical significance.
Contribution
It introduces new perspectives on deforming affine Kac-Moody algebras within integrable systems, advancing understanding of their algebraic and physical applications.
Findings
New deformation techniques for affine Kac-Moody algebras
Connections established between algebraic structures and integrable models
Potential implications for mathematical physics and symmetry analysis
Abstract
This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceedings of the Colloquium).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra