
Special Issue on Exact Solvability and Symmetry Avatars in honour of Luc Vinet
The Guest Editors for this special issue are
Vincent Genest (Université de Montréal, Canada)
Decio Levi (Università degli Studi Roma Tre, Italy)
Willard Miller (University of Minnesota, USA)
Yvan SaintAubin (Université de Montréal, Canada)
Pavel Winternitz (Université de Montréal, Canada)
Luc Vinet's scientific career now embraces more than thirtyfive years. His research has had an impact on many topics in theoretical and mathematical physics. Its main themes are symmetries in physics and their underlying algebraic structures. These were present in his very first works, the geometric description of invariant gauge fields and the study of early examples of supersymmetric quantummechanical systems. And these themes are the threads weaving the present special issue together: integrable and exactly solvable models, algebraic combinatorics, field and string theory, quantum information, orthogonal polynomials and superintegrability. Not surprisingly Luc has made significant contributions in all these domains.
The diversity of fields and the number of authors of this special issue, as well as those of the participants at the conference
Exact Solvability and Symmetry Avatars celebrating his 60th birthday
and held at the Centre de recherches mathématiques in August 2014, are witnesses of the impact Luc has had on our community. This impact goes beyond the impressive breadth of his published works: Luc has influenced many scientific careers by being a great colleague, collaborator and mentor, and by playing an active role in the development of many opportunities for the community. We are extremely happy to dedicate this special issue of SIGMA to him, with admiration and friendship.
Vincent Genest, Decio Levi, Willard Miller Jr, Yvan SaintAubin, Pavel Winternitz
Papers in this Issue:

Multispecies Weighted Hurwitz Numbers

J. Harnad
SIGMA 11 (2015), 097, 19 pages [ abs
pdf ]

Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests

Decio Levi, Luigi Martina and Pavel Winternitz
SIGMA 11 (2015), 080, 20 pages [ abs
pdf ]

Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators

Tom H. Koornwinder
SIGMA 11 (2015), 074, 22 pages [ abs
pdf ]

A CA Hybrid of the SlowtoStart and the Optimal Velocity Models and its FlowDensity Relation

Hideaki Ujino and Tetsu Yajima
SIGMA 11 (2015), 065, 10 pages [ abs
pdf ]

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials

Yves Grandati and Christiane Quesne
SIGMA 11 (2015), 061, 26 pages [ abs
pdf ]

Racah Polynomials and Recoupling Schemes of $\mathfrak{su}(1,1)$

Sarah Post
SIGMA 11 (2015), 057, 17 pages [ abs
pdf ]

From Jack to Double Jack Polynomials via the Supersymmetric Bridge

Luc Lapointe and Pierre Mathieu
SIGMA 11 (2015), 051, 15 pages [ abs
pdf ]

Embeddings of the Racah Algebra into the BannaiIto Algebra

Vincent X. Genest, Luc Vinet and Alexei Zhedanov
SIGMA 11 (2015), 050, 11 pages [ abs
pdf ]

Higher Order Deformations of Complex Structures

Eric D'Hoker and Duong H. Phong
SIGMA 11 (2015), 047, 14 pages [ abs
pdf ]

On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces

Sébastien Bertrand, Alfred M. Grundland and Alexander J. Hariton
SIGMA 11 (2015), 046, 16 pages [ abs
pdf ]

Time and Band Limiting for Matrix Valued Functions, an Example

F. Alberto Grünbaum, Inés Pacharoni and Ignacio Nahuel Zurrián
SIGMA 11 (2015), 044, 14 pages [ abs
pdf ]

Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems

Robin Heinonen, Ernest G. Kalnins, Willard Miller Jr. and Eyal Subag
SIGMA 11 (2015), 043, 33 pages [ abs
pdf ]

From Twisted Quantum Loop Algebras to Twisted Yangians

Patrick Conner and Nicolas Guay
SIGMA 11 (2015), 040, 14 pages [ abs
pdf ]

The Combinatorics of Associated Laguerre Polynomials

Jang Soo Kim and Dennis Stanton
SIGMA 11 (2015), 039, 12 pages [ abs
pdf ]

Quantum Integrals for a SemiInfinite qBoson System with Boundary Interactions

Jan Felipe van Diejen and Erdal Emsiz
SIGMA 11 (2015), 037, 9 pages [ abs
pdf ]

Exact MTheory Solutions, Integrable Systems, and Superalgebras

Eric D'Hoker
SIGMA 11 (2015), 029, 20 pages [ abs
pdf ]

On the qCharlier Multiple Orthogonal Polynomials

Jorge Arvesú and Andys M. RamírezAberasturis
SIGMA 11 (2015), 026, 14 pages [ abs
pdf ]

Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Howard S. Cohl and Rebekah M. Palmer
SIGMA 11 (2015), 015, 23 pages [ abs
pdf ]

