Symmetries, Integrable Systems and Representations

Kenji Iohara (1) , Sophie Morier-Genoud (2) , Bertrand Remy (3)

1 AGL - Algèbre, géométrie, logique
2 IMJ - Institut de Mathématiques de Jussieu
3 ICJ - Institut Camille Jordan

This volume is the result of two international workshops: "Infinite Analysis 11 - Frontier of Integrability" held at University of Tokyo, Japan in July 25th to 29th, 2011, and "Symmetries, Integrable Systems and Representations" held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.

Mots clés: Infinite Analysis; Integrable systems; Representations; Symmetry; Theoretical; Mathematical & Computational Physics

Domaines: Physique mathématique [math-ph]; Théorie des représentations [math.RT]

Kenji Iohara, Sophie Morier-Genoud, Bertrand Remy (Dir.). Symmetries, Integrable Systems and Representations. Springer Verlag, pp.637, 2012, 978-1-4471-4862-3. ⟨10.1007/978-1-4471-4863-0⟩. ⟨hal-00769221⟩