Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Volume 11, 2015


Hankel Determinants of Zeta Values
Alan Haynes and Wadim Zudilin
SIGMA 11 (2015), 101,  5 pages   [ abs   pdf ]
Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$
Boris Feigin, Ayumu Hoshino, Masatoshi Noumi, Jun Shibahara and Jun'ichi Shiraishi
SIGMA 11 (2015), 100, 21 pages   [ abs   pdf ]
Slavnov and Gaudin-Korepin Formulas for Models without ${\rm U}(1)$ Symmetry: the Twisted XXX Chain
Samuel Belliard and Rodrigo A. Pimenta
SIGMA 11 (2015), 099, 12 pages   [ abs   pdf ]
A Classical Limit of Noumi's $q$-Integral Operator
Alexei Borodin, Ivan Corwin and Daniel Remenik
SIGMA 11 (2015), 098,  7 pages   [ abs   pdf ]
Multispecies Weighted Hurwitz Numbers
J. Harnad
SIGMA 11 (2015), 097, 19 pages   [ abs   pdf ]
Harmonic Oscillator on the ${\rm SO}(2,2)$ Hyperboloid
Davit R. Petrosyan and George S. Pogosyan
SIGMA 11 (2015), 096, 23 pages   [ abs   pdf ]
Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter
Karen Ogilvie and Adri B. Olde Daalhuis
SIGMA 11 (2015), 095, 31 pages   [ abs   pdf ]
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System
Claudia Maria Chanu, Luca Degiovanni and Giovanni Rastelli
SIGMA 11 (2015), 094,  9 pages   [ abs   pdf ]
Post-Lie Algebras and Isospectral Flows
Kurusch Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini and Hans Z. Munthe-Kaas
SIGMA 11 (2015), 093, 16 pages   [ abs   pdf ]
Differential Galois Theory and Lie Symmetries
David Blázquez-Sanz, Juan J. Morales-Ruiz and Jacques-Arthur Weil
SIGMA 11 (2015), 092, 17 pages   [ abs   pdf ]
Populations of Solutions to Cyclotomic Bethe Equations
Alexander Varchenko and Charles A.S. Young
SIGMA 11 (2015), 091, 41 pages   [ abs   pdf ]
Graded Bundles in the Category of Lie Groupoids
Andrew James Bruce, Katarzyna Grabowska and Janusz Grabowski
SIGMA 11 (2015), 090, 25 pages   [ abs   pdf ]
On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems
Manuele Santoprete
SIGMA 11 (2015), 089, 11 pages   [ abs   pdf ]
Examples of Complete Solvability of 2D Classical Superintegrable Systems
Yuxuan Chen, Ernie G Kalnins, Qiushi Li and Willard Miller Jr.
SIGMA 11 (2015), 088, 51 pages   [ abs   pdf ]
Bispectrality of $N$-Component KP Wave Functions: A Study in Non-Commutativity
Alex Kasman
SIGMA 11 (2015), 087, 22 pages   [ abs   pdf ]
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
Giacomo Graziani, Abdenacer Makhlouf, Claudia Menini and Florin Panaite
SIGMA 11 (2015), 086, 34 pages   [ abs   pdf ]
On Integrable Perturbations of Some Nonholonomic Systems
Andrey V. Tsiganov
SIGMA 11 (2015), 085, 19 pages   [ abs   pdf ]
Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
Michael F. Barnsley and Andrew Vince
SIGMA 11 (2015), 084, 21 pages   [ abs   pdf ]
Certain Integrals Arising from Ramanujan's Notebooks
Bruce C. Berndt and Armin Straub
SIGMA 11 (2015), 083, 11 pages   [ abs   pdf ]
Equivariant Join and Fusion of Noncommutative Algebras
Ludwik Dąbrowski, Tom Hadfield and Piotr M. Hajac
SIGMA 11 (2015), 082,  7 pages   [ abs   pdf ]
Monge-Ampère Systems with Lagrangian Pairs
Goo Ishikawa and Yoshinori Machida
SIGMA 11 (2015), 081, 32 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 ]
Lie Algebroids in the Loday-Pirashvili Category
Ana Rovi
SIGMA 11 (2015), 079, 16 pages   [ abs   pdf ]
${\mathcal D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
S. Twareque Ali, Fabio Bagarello and Jean Pierre Gazeau
SIGMA 11 (2015), 078, 23 pages   [ abs   pdf ]
Moments and Legendre-Fourier Series for Measures Supported on Curves
Jean B. Lasserre
SIGMA 11 (2015), 077, 10 pages   [ abs   pdf ]
Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution
Luis Gutiérrez Frez and José Pantoja
SIGMA 11 (2015), 076, 15 pages   [ abs   pdf ]
An Asymmetric Noncommutative Torus
Ludwik Dąbrowski and Andrzej Sitarz
SIGMA 11 (2015), 075, 11 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 ]
Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Bartosz Langowski
SIGMA 11 (2015), 073, 17 pages   [ abs   pdf ]
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Jonathan Lorand and Alan Weinstein
SIGMA 11 (2015), 072, 10 pages   [ abs   pdf ]
Path Integrals on Euclidean Space Forms
Guillermo Capobianco and Walter Reartes
SIGMA 11 (2015), 071, 12 pages   [ abs   pdf ]
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Dan Dai, Weiying Hu and Xiang-Sheng Wang
SIGMA 11 (2015), 070, 17 pages   [ abs   pdf ]
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
Alexandre J. Santana and Simão N. Stelmastchuk
SIGMA 11 (2015), 069, 12 pages   [ abs   pdf ]
Dynamics on Wild Character Varieties
Emmanuel Paul and Jean-Pierre Ramis
SIGMA 11 (2015), 068, 21 pages   [ abs   pdf ]
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of ${\rm GL}(1|1)$
Andrei Babichenko and Thomas Creutzig
SIGMA 11 (2015), 067, 24 pages   [ abs   pdf ]
Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras
Alexey A. Magazev, Vitaly V. Mikheyev and Igor V. Shirokov
SIGMA 11 (2015), 066, 17 pages   [ abs   pdf ]
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Hideaki Ujino and Tetsu Yajima
SIGMA 11 (2015), 065, 10 pages   [ abs   pdf ]
${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
Stanislav Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 11 (2015), 064, 18 pages   [ abs   pdf ]
${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors
Stanislav Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 11 (2015), 063, 20 pages   [ abs   pdf ]
Topological Monodromy of an Integrable Heisenberg Spin Chain
Jeremy Lane
SIGMA 11 (2015), 062, 18 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 ]
$T$-Path Formula and Atomic Bases for Cluster Algebras of Type $D$
Emily Gunawan and Gregg Musiker
SIGMA 11 (2015), 060, 46 pages   [ abs   pdf ]
A Perturbation of the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López and Manuel Calaza
SIGMA 11 (2015), 059, 33 pages   [ abs   pdf ]
Modular Classes of Lie Groupoid Representations up to Homotopy
Rajan Amit Mehta
SIGMA 11 (2015), 058, 10 pages   [ abs   pdf ]
Racah Polynomials and Recoupling Schemes of $\mathfrak{su}(1,1)$
Sarah Post
SIGMA 11 (2015), 057, 17 pages   [ abs   pdf ]
From Polygons to Ultradiscrete Painlevé Equations
Christopher Michael Ormerod and Yasuhiko Yamada
SIGMA 11 (2015), 056, 36 pages   [ abs   pdf ]
Non-Compact Symplectic Toric Manifolds
Yael Karshon and Eugene Lerman
SIGMA 11 (2015), 055, 37 pages   [ abs   pdf ]
Eigenvalue Estimates of the ${\rm spin}^c$ Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds
Roger Nakad and Mihaela Pilca
SIGMA 11 (2015), 054, 15 pages   [ abs   pdf ]
Constructing Involutive Tableaux with Guillemin Normal Form
Abraham D. Smith
SIGMA 11 (2015), 053, 14 pages   [ abs   pdf ]
Algebro-Geometric Solutions of the Generalized Virasoro Constraints
Francisco José Plaza Martín
SIGMA 11 (2015), 052, 34 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 Bannai-Ito Algebra
Vincent X. Genest, Luc Vinet and Alexei Zhedanov
SIGMA 11 (2015), 050, 11 pages   [ abs   pdf ]
A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
Kyungyong Lee, Li Li and Matthew R. Mills
SIGMA 11 (2015), 049, 24 pages   [ abs   pdf ]
General Boundary Formulation for $n$-Dimensional Classical Abelian Theory with Corners
Homero G. Díaz-Marín
SIGMA 11 (2015), 048, 35 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 ]
Non-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville
Ognyan Christov and Georgi Georgiev
SIGMA 11 (2015), 045, 20 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 ]
Simplex and Polygon Equations
Aristophanes Dimakis and Folkert Müller-Hoissen
SIGMA 11 (2015), 042, 49 pages   [ abs   pdf ]
Cyclic Homology and Quantum Orbits
Tomasz Maszczyk and Serkan Sütlü
SIGMA 11 (2015), 041, 27 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 ]
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
Joshua J. Capel, Jonathan M. Kress and Sarah Post
SIGMA 11 (2015), 038, 17 pages   [ abs   pdf ]
Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
Jan Felipe van Diejen and Erdal Emsiz
SIGMA 11 (2015), 037,  9 pages   [ abs   pdf ]
The Stokes Phenomenon and Some Applications
Marius van der Put
SIGMA 11 (2015), 036, 13 pages   [ abs   pdf ]
On a Quantization of the Classical $\theta$-Functions
Yurii V. Brezhnev
SIGMA 11 (2015), 035, 11 pages   [ abs   pdf ]
A Cohomological Proof that Real Representations of Semisimple Lie Algebras Have $\mathbb{Q}$-Forms
Dave Witte Morris
SIGMA 11 (2015), 034, 12 pages   [ abs   pdf ]
Cluster Variables on Certain Double Bruhat Cells of Type $(u,e)$ and Monomial Realizations of Crystal Bases of Type A
Yuki Kanakubo and Toshiki Nakashima
SIGMA 11 (2015), 033, 32 pages   [ abs   pdf ]
Three-Phase Freak Waves
Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov and Elena G. Semenova
SIGMA 11 (2015), 032, 14 pages   [ abs   pdf ]
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Marek Grochowski and Ben Warhurst
SIGMA 11 (2015), 031, 23 pages   [ abs   pdf ]
Skein Modules from Skew Howe Duality and Affine Extensions
Hoel Queffelec
SIGMA 11 (2015), 030, 36 pages   [ abs   pdf ]
Exact M-Theory Solutions, Integrable Systems, and Superalgebras
Eric D'Hoker
SIGMA 11 (2015), 029, 20 pages   [ abs   pdf ]
Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Oleksandr Chvartatskyi and Yuriy Sydorenko
SIGMA 11 (2015), 028, 20 pages   [ abs   pdf ]
An Integrability Condition for Simple Lie Groups II
Maung Min-Oo
SIGMA 11 (2015), 027,  4 pages   [ abs   pdf ]
On the $q$-Charlier Multiple Orthogonal Polynomials
Jorge Arvesú and Andys M. Ramírez-Aberasturis
SIGMA 11 (2015), 026, 14 pages   [ abs   pdf ]
Metaplectic-c Quantomorphisms
Jennifer Vaughan
SIGMA 11 (2015), 025, 15 pages   [ abs   pdf ]
The Feigin Tetrahedron
Dylan Rupel
SIGMA 11 (2015), 024, 30 pages   [ abs   pdf ]
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
Yulia Bibilo and Galina Filipuk
SIGMA 11 (2015), 023, 14 pages   [ abs   pdf ]
Dynamics on Networks of Manifolds
Lee DeVille and Eugene Lerman
SIGMA 11 (2015), 022, 21 pages   [ abs   pdf ]
Schur Superpolynomials: Combinatorial Definition and Pieri Rule
Olivier Blondeau-Fournier and Pierre Mathieu
SIGMA 11 (2015), 021, 23 pages   [ abs   pdf ]
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
Hideshi Yamane
SIGMA 11 (2015), 020, 17 pages   [ abs   pdf ]
Vertex Algebras $\mathcal{W}(p)^{A_m}$ and $\mathcal{W}(p)^{D_m}$ and Constant Term Identities
Dražen Adamović, Xianzu Lin and Antun Milas
SIGMA 11 (2015), 019, 16 pages   [ abs   pdf ]
Irreducible Generic Gelfand-Tsetlin Modules of $\mathfrak{gl}(n)$
Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez
SIGMA 11 (2015), 018, 13 pages   [ abs   pdf ]
On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Igor Buchberger and Jürgen Fuchs
SIGMA 11 (2015), 017, 21 pages   [ abs   pdf ]
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
Kevin Coulembier and Volodymyr Mazorchuk
SIGMA 11 (2015), 016, 17 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 ]
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Victor S. Barbosa and Valdir A. Menegatto
SIGMA 11 (2015), 014, 13 pages   [ abs   pdf ]
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
Margit Rösler and Michael Voit
SIGMA 11 (2015), 013, 18 pages   [ abs   pdf ]
The Quantum Pair of Pants
Slawomir Klimek, Matt Mcbride, Sumedha Rathnayake and Kaoru Sakai
SIGMA 11 (2015), 012, 22 pages   [ abs   pdf ]
Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic
Jing Wang and István Heckenberger
SIGMA 11 (2015), 011, 24 pages   [ abs   pdf ]
Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables
Bernd Fritzsche, Bernd Kirstein, Inna Ya. Roitberg and Alexander L. Sakhnovich
SIGMA 11 (2015), 010, 13 pages   [ abs   pdf ]
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Cornelia Vizman
SIGMA 11 (2015), 009, 10 pages   [ abs   pdf ]
Ambiguities in a Problem in Planar Geodesy
Josef Schicho and Matteo Gallet
SIGMA 11 (2015), 008, 13 pages   [ abs   pdf ]
On a Certain Subalgebra of $U_q(\widehat{\mathfrak{sl}}_2)$ Related to the Degenerate $q$-Onsager Algebra
Tomoya Hattai and Tatsuro Ito
SIGMA 11 (2015), 007, 13 pages   [ abs   pdf ]
Local Properties of Measures in Quantum Field Theory and Cosmology
José M. Velhinho
SIGMA 11 (2015), 006,  8 pages   [ abs   pdf ]
Bosonizations of $\widehat{\mathfrak{sl}}_2$ and Integrable Hierarchies
Bojko Bakalov and Daniel Fleisher
SIGMA 11 (2015), 005, 19 pages   [ abs   pdf ]
Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case
Simon N.M. Ruijsenaars
SIGMA 11 (2015), 004, 78 pages   [ abs   pdf ]
Galois Groups of Difference Equations of Order Two on Elliptic Curves
Thomas Dreyfus and Julien Roques
SIGMA 11 (2015), 003, 23 pages   [ abs   pdf ]
Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
Naruhiko Aizawa, Radhakrishnan Chandrashekar and Jambulingam Segar
SIGMA 11 (2015), 002, 19 pages   [ abs   pdf ]
Geometry of Centroaffine Surfaces in R5
Nathaniel Bushek and Jeanne N. Clelland
SIGMA 11 (2015), 001, 24 pages   [ abs   pdf ]

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