Special Issue in honor of Anatol Kirillov and Tetsuji Miwa

The Guest Editors for this special issue are

Atsuo Kuniba (University of Tokyo, Japan)
Hiraku Nakajima (Kyoto University, Japan)
Tomoki Nakanishi (Nagoya University, Japan)
Masato Okado (Osaka University, Japan)
Takahiro Shiota (Kyoto University, Japan)
Yoshihiro Takeyama (University of Tsukuba, Japan)

This special issue is published in conjunction with the Infinite Analysis 13 workshops at Kyoto University: “Infinite Analysis: Past, Present and Future” (March 4–6, 2013, Department of Mathematics) and “Bethe Ansatz, Quantum Groups and Beyond” (March 7–9, 2013, Research Institute for Mathematical Sciences), which, respectively, were held in honor of Professor Tetsuji Miwa and Professor Anatol Kirillov on the occasion of their retirement from Kyoto University.

The issue contains 20 papers with the total of 479 pages.

We would like to thank all the authors who contributed papers and all the referees for providing us with valuable reports.

With gratitude we dedicate this special issue of SIGMA to both Professor Kirillov and Professor Miwa.

Papers in this Issue:

Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit

Maxime Dugave, Frank Göhmann and Karol Kajetan Kozlowski
SIGMA 10 (2014), 043, 18 pages   [ abs   pdf ]

Mystic Reflection Groups

Yuri Bazlov and Arkady Berenstein
SIGMA 10 (2014), 040, 11 pages   [ abs   pdf ]

Fusion Procedure for Cyclotomic Hecke Algebras

Oleg V. Ogievetsky and Loïc Poulain d'Andecy
SIGMA 10 (2014), 039, 13 pages   [ abs   pdf ]

Modules with Demazure Flags and Character Formulae

Vyjayanthi Chari, Lisa Schneider, Peri Shereen and Jeffrey Wand
SIGMA 10 (2014), 032, 16 pages   [ abs   pdf ]

Rigged Configurations and Kashiwara Operators

Reiho Sakamoto
SIGMA 10 (2014), 028, 88 pages   [ abs   pdf ]

Symmetry Groups of A_n Hypergeometric Series

Yasushi Kajihara
SIGMA 10 (2014), 026, 29 pages   [ abs   pdf ]

Dispersionless BKP Hierarchy and Quadrant Löwner Equation

Takashi Takebe
SIGMA 10 (2014), 023, 13 pages   [ abs   pdf ]

Commutative Families of the Elliptic Macdonald Operator

Yosuke Saito
SIGMA 10 (2014), 021, 17 pages   [ abs   pdf ]

The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data

Russell Johnson and Luca Zampogni
SIGMA 10 (2014), 020, 23 pages   [ abs   pdf ]

The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints

Johan van de Leur
SIGMA 10 (2014), 007, 19 pages   [ abs   pdf ]

The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy

Anton Zabrodin
SIGMA 10 (2014), 006, 18 pages   [ abs   pdf ]

Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation

Christopher M. Ormerod
SIGMA 10 (2014), 002, 19 pages   [ abs   pdf ]

A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy

Luc Haine and Didier Vanderstichelen
SIGMA 9 (2013), 079, 42 pages   [ abs   pdf ]

Integrable Hierarchy of the Quantum Benjamin-Ono Equation

Maxim Nazarov and Evgeny Sklyanin
SIGMA 9 (2013), 078, 14 pages   [ abs   pdf ]

Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials

Jan Felipe van Diejen and Erdal Emsiz
SIGMA 9 (2013), 077, 12 pages   [ abs   pdf ]

The Algebra of a q-Analogue of Multiple Harmonic Series

Yoshihiro Takeyama
SIGMA 9 (2013), 061, 15 pages   [ abs   pdf ]

Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix

Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 9 (2013), 058, 23 pages   [ abs   pdf ]

Extended T-System of Type G₂

Jian-Rong Li and Evgeny Mukhin
SIGMA 9 (2013), 054, 28 pages   [ abs   pdf ]

A Common Structure in PBW Bases of the Nilpotent Subalgebra of U_q(g) and Quantized Algebra of Functions

Atsuo Kuniba, Masato Okado and Yasuhiko Yamada
SIGMA 9 (2013), 049, 23 pages   [ abs   pdf ]

Combinatorial Formulae for Nested Bethe Vectors

Vitaly Tarasov and Alexander Varchenko
SIGMA 9 (2013), 048, 28 pages   [ abs   pdf ]