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Symmetry, integrability and geometry: methods and applications
Tome 11 (2015)
Précédent Suivant


Geometry of Centroaffine Surfaces in $\mathbb{R}^5$
Nathaniel Bushek ; Jeanne N. Clelland

Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
Naruhiko Aizawa ; Radhakrishnan Chandrashekar ; Jambulingam Segar

Galois Groups of Difference Equations of Order Two on Elliptic Curves
Thomas Dreyfus ; Julien Roques

Hilbert–Schmidt Operators vs. Integrable Systems of Elliptic Calogero–Moser Type IV. The Relativistic Heun (van Diejen) Case
Simon N. M. Ruijsenaars

Bosonizations of $\widehat{\mathfrak{sl}}_2$ and Integrable Hierarchies
Bojko Bakalov ; Daniel Fleisher

Local Properties of Measures in Quantum Field Theory and Cosmology
José M. Velhinho

On a Certain Subalgebra of $U_q(\widehat{\mathfrak{sl}}_2)$ Related to the Degenerate $q$-Onsager Algebra
Tomoya Hattai ; Tatsuro Ito

Ambiguities in a Problem in Planar Geodesy
Josef Schicho ; Matteo Gallet

Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Cornelia Vizman

Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables
Bernd Fritzsche ; Bernd Kirstein ; Inna Ya. Roitberg ; Alexander L. Sakhnovich

Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic
Jing Wang ; István Heckenberger

The Quantum Pair of Pants
Slawomir Klimek ; Matt McBride ; Sumedha Rathnayake ; Kaoru Sakai

A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
Margit Rösler ; Michael Voit

Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Victor S. Barbosa ; Valdir A. Menegatto

Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl ; Rebekah M. Palmer

Extension Fullness of the Categories of Gelfand–Zeitlin and Whittaker Modules
Kevin Coulembier ; Volodymyr Mazorchuk

On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Igor Buchberger ; Jürgen Fuchs

Irreducible Generic Gelfand–Tsetlin Modules of $\mathfrak{gl}(n)$
Vyacheslav Futorny ; Dimitar Grantcharov ; Luis Enrique Ramirez

Vertex Algebras $\mathcal{W}(p)^{A_m}$ and $\mathcal{W}(p)^{D_m}$ and Constant Term Identities
Dražen Adamović ; Xianzu Lin ; Antun Milas

Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
Hideshi Yamane

Schur Superpolynomials: Combinatorial Definition and Pieri Rule
Olivier Blondeau-Fournier ; Pierre Mathieu

Dynamics on Networks of Manifolds
Lee Deville ; Eugene Lerman

Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
Yulia Bibilo ; Galina Filipuk

The Feigin Tetrahedron
Dylan Rupel

Metaplectic-c Quantomorphisms
Jennifer Vaughan

On the $q$-Charlier Multiple Orthogonal Polynomials
Jorge Arvesú ; Andys M. Ramírez-Aberasturis

An Integrability Condition for Simple Lie Groups II
Maung Min-Oo

Darboux Transformations for $(2+1)$-Dimensional Extensions of the KP Hierarchy
Oleksandr Chvartatskyi ; Yuriy Sydorenko

Exact $\mathrm{M}$-Theory Solutions, Integrable Systems, and Superalgebras
Eric D'Hoker

Skein Modules from Skew Howe Duality and Affine Extensions
Hoel Queffelec

Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Marek Grochowski ; Ben Warhurst

Three-Phase Freak Waves
Aleksandr O. Smirnov ; Sergei G. Matveenko ; Sergei K. Semenov ; Elena G. Semenova

Cluster Variables on Certain Double Bruhat Cells of Type $(u,e)$ and Monomial Realizations of Crystal Bases of Type A
Yuki Kanakubo ; Toshiki Nakashima

A Cohomological Proof that Real Representations of Semisimple Lie Algebras Have $\mathbb{Q}$-Forms
Dave Witte Morris

On a Quantization of the Classical $\theta$-Functions
Yurii V. Brezhnev

The Stokes Phenomenon and Some Applications
Marius van der Put

Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
Jan Felipe van Diejen ; Erdal Emsiz

Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
Joshua J. Capel ; Jonathan M. Kress ; Sarah Post

The Combinatorics of Associated Laguerre Polynomials
Jang Soo Kim ; Dennis Stanton

From Twisted Quantum Loop Algebras to Twisted Yangians
Patrick Conner ; Nicolas Guay

Cyclic Homology and Quantum Orbits
Tomasz Maszczyk ; Serkan Sütlü

Simplex and Polygon Equations
Aristophanes Dimakis ; Folkert Müller-Hoissen

Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems
Robin Heinonen ; Ernest G. Kalnins ; Willard Miller Jr. ; Eyal Subag

Time and Band Limiting for Matrix Valued Functions, an Example
F. Alberto Grünbaum ; Inés Pacharoni ; Ignacio Nahuel Zurrián

Non-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville
Ognyan Christov ; Georgi Georgiev

On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Sébastien Bertrand ; Alfred M. Grundland ; Alexander J. Hariton

Higher Order Deformations of Complex Structures
Eric D'Hoker ; Duong H. Phong

General Boundary Formulation for $n$-Dimensional Classical Abelian Theory with Corners
Homero G. Díaz-Maríin

A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
Kyungyong Lee ; Li Li ; Matthew R. Mills

Embeddings of the Racah Algebra into the Bannai–Ito Algebra
Vincent X. Genest ; Luc Vinet ; Alexei Zhedanov

From Jack to Double Jack Polynomials via the Supersymmetric Bridge
Luc Lapointe ; Pierre Mathieu

Algebro-Geometric Solutions of the Generalized Virasoro Constraints
Francisco José Plaza Martín

Constructing Involutive Tableaux with Guillemin Normal Form
Abraham D. Smith

Eigenvalue Estimates of the ${\mathop{\rm spin}^c}$ Dirac Operator and Harmonic Forms on Kähler–Einstein Manifolds
Roger Nakad ; Mihaela Pilca

Non-Compact Symplectic Toric Manifolds
Yael Karshon ; Eugene Lerman

From Polygons to Ultradiscrete Painlevé Equations
Christopher Michael Ormerod ; Yasuhiko Yamada

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

Modular Classes of Lie Groupoid Representations up to Homotopy
Rajan Amit Mehta

A Perturbation of the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López ; Manuel Calaza ; Carlos Franco

$T$-Path Formula and Atomic Bases for Cluster Algebras of Type $D$
Emily Gunawan ; Gregg Musiker

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
Yves Grandati ; Christiane Quesne

Topological Monodromy of an Integrable Heisenberg Spin Chain
Jeremy Lane

${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors
Stanislav Pakuliak ; Eric Ragoucy ; Nikita A. Slavnov

${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
Stanislav Pakuliak ; Eric Ragoucy ; Nikita A. Slavnov

A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Hideaki Ujino ; Tetsu Yajima

Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras
Alexey A. Magazev ; Vitaly V. Mikheyev ; Igor V. Shirokov

Harmonic Analysis and Free Field Realization of the Takiff Supergroup of $\mathrm{GL}(1|1)$
Andrei Babichenko ; Thomas Creutzig

Dynamics on Wild Character Varieties
Emmanuel Paul ; Jean-Pierre Ramis

Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
Alexandre J. Santana ; Simão N. Stelmastchuk

Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Dan Dai ; Weiying Hu ; Xiang-Sheng Wang

Path Integrals on Euclidean Space Forms
Guillermo Capobianco ; Walter Reartes

(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Jonathan Lorand ; Alan Weinstein

Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Bartosz Langowski

Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators
Tom H. Koornwinder

An Asymmetric Noncommutative Torus
Ludwik Dąbrowski ; Andrzej Sitarz

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 ; José Pantoja

Moments and Legendre–Fourier Series for Measures Supported on Curves
Jean B. Lasserre

$\mathcal{D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
S. Twareque Ali ; Fabio Bagarello ; Jean Pierre Gazeau

Lie Algebroids in the Loday–Pirashvili Category
Ana Rovi

Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests
Decio Levi ; Luigi Martina ; Pavel Winternitz

Monge–Ampère Systems with Lagrangian Pairs
Goo Ishikawa ; Yoshinori Machida

Equivariant Join and Fusion of Noncommutative Algebras
Ludwik Dąbrowski ; Tom Hadfield ; Piotr M. Hajac

Certain Integrals Arising from Ramanujan's Notebooks
Bruce C. Berndt ; Armin Straub

Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
Michael F. Barnsley ; Andrew Vince

On Integrable Perturbations of Some Nonholonomic Systems
Andrey V. Tsiganov

BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
Giacomo Graziani ; Abdenacer Makhlouf ; Claudia Menini ; Florin Panaite

Bispectrality of $N$-Component KP Wave Functions: A Study in Non-Commutativity
Alex Kasman

Examples of Complete Solvability of 2D Classical Superintegrable Systems
Yuxuan Chen ; Ernie G. Kalnins ; Qiushi Li ; Willard Miller Jr.

On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems
Manuele Santoprete

Graded Bundles in the Category of Lie Groupoids
Andrew James Bruce ; Katarzyna Grabowska ; Janusz Grabowski

Populations of Solutions to Cyclotomic Bethe Equations
Alexander Varchenko ; Charles A. S. Young

Differential Galois Theory and Lie Symmetries
David Blázquez-Sanz ; Juan J. Morales-Ruiz ; Jacques-Arthur Weil

Post-Lie Algebras and Isospectral Flows
Kurush Ebrahimi-Fard ; Alexander Lundervold ; Igor Mencattini ; Hans Z. Munthe-Kaas

Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System
Claudia Maria Chanu ; Luca Degiovanni ; Giovanni Rastelli

Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter
Karen Ogilvie ; Adri B. Olde Daalhuis

Harmonic Oscillator on the $\mathrm{SO}(2,2)$ Hyperboloid
Davit R. Petrosyan ; George S. Pogosyan

Multispecies Weighted Hurwitz Numbers
J. Harnad

A Classical Limit of Noumi's $q$-Integral Operator
Alexei Borodin ; Ivan Corwin ; Daniel Remenik

Slavnov and Gaudin–Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain
Samuel Belliard ; Rodrigo A. Pimenta

Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$
Boris Feigin ; Ayumu Hoshino ; Masatoshi Noumi ; Jun Shibahara ; Jun'ichi Shiraishi

Hankel Determinants of Zeta Values
Alan Haynes ; Wadim Zudilin
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