Geodesic

Tome 11 (2015)

Sommaire

Geometry of Centroaffine Surfaces in $\mathbb{R}^5$
Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
Galois Groups of Difference Equations of Order Two on Elliptic Curves
Hilbert–Schmidt Operators vs. Integrable Systems of Elliptic Calogero–Moser Type IV. The Relativistic Heun (van Diejen) Case
Bosonizations of $\widehat{\mathfrak{sl}}_2$ and Integrable Hierarchies
Local Properties of Measures in Quantum Field Theory and Cosmology
On a Certain Subalgebra of $U_q(\widehat{\mathfrak{sl}}_2)$ Related to the Degenerate $q$-Onsager Algebra
Ambiguities in a Problem in Planar Geodesy
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables
Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic
The Quantum Pair of Pants
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Extension Fullness of the Categories of Gelfand–Zeitlin and Whittaker Modules
On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Irreducible Generic Gelfand–Tsetlin Modules of $\mathfrak{gl}(n)$
Vertex Algebras $\mathcal{W}(p)^{A_m}$ and $\mathcal{W}(p)^{D_m}$ and Constant Term Identities
Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
Schur Superpolynomials: Combinatorial Definition and Pieri Rule
Dynamics on Networks of Manifolds
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
The Feigin Tetrahedron
Metaplectic-c Quantomorphisms
On the $q$-Charlier Multiple Orthogonal Polynomials
An Integrability Condition for Simple Lie Groups II
Darboux Transformations for $(2+1)$-Dimensional Extensions of the KP Hierarchy
Exact $\mathrm{M}$-Theory Solutions, Integrable Systems, and Superalgebras
Skein Modules from Skew Howe Duality and Affine Extensions
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Three-Phase Freak Waves
Cluster Variables on Certain Double Bruhat Cells of Type $(u,e)$ and Monomial Realizations of Crystal Bases of Type A
A Cohomological Proof that Real Representations of Semisimple Lie Algebras Have $\mathbb{Q}$-Forms
On a Quantization of the Classical $\theta$-Functions
The Stokes Phenomenon and Some Applications
Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
The Combinatorics of Associated Laguerre Polynomials
From Twisted Quantum Loop Algebras to Twisted Yangians
Cyclic Homology and Quantum Orbits
Simplex and Polygon Equations
Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems
Time and Band Limiting for Matrix Valued Functions, an Example
Non-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Higher Order Deformations of Complex Structures
General Boundary Formulation for $n$-Dimensional Classical Abelian Theory with Corners
A Combinatorial Formula for Certain Elements of Upper Cluster Algebras
Embeddings of the Racah Algebra into the Bannai–Ito Algebra
From Jack to Double Jack Polynomials via the Supersymmetric Bridge
Algebro-Geometric Solutions of the Generalized Virasoro Constraints
Constructing Involutive Tableaux with Guillemin Normal Form
Eigenvalue Estimates of the ${\mathop{\rm spin}^c}$ Dirac Operator and Harmonic Forms on Kähler–Einstein Manifolds
Non-Compact Symplectic Toric Manifolds
From Polygons to Ultradiscrete Painlevé Equations
Racah Polynomials and Recoupling Schemes of $\mathfrak{su}(1,1)$
Modular Classes of Lie Groupoid Representations up to Homotopy
A Perturbation of the Dunkl Harmonic Oscillator on the Line
$T$-Path Formula and Atomic Bases for Cluster Algebras of Type $D$
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
Topological Monodromy of an Integrable Heisenberg Spin Chain
${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors
${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of $\mathrm{GL}(1|1)$
Dynamics on Wild Character Varieties
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Path Integrals on Euclidean Space Forms
(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces
Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators
An Asymmetric Noncommutative Torus
Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution
Moments and Legendre–Fourier Series for Measures Supported on Curves
$\mathcal{D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
Lie Algebroids in the Loday–Pirashvili Category
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests
Monge–Ampère Systems with Lagrangian Pairs
Equivariant Join and Fusion of Noncommutative Algebras
Certain Integrals Arising from Ramanujan's Notebooks
Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
On Integrable Perturbations of Some Nonholonomic Systems
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
Bispectrality of $N$-Component KP Wave Functions: A Study in Non-Commutativity
Examples of Complete Solvability of 2D Classical Superintegrable Systems
On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems
Graded Bundles in the Category of Lie Groupoids
Populations of Solutions to Cyclotomic Bethe Equations
Differential Galois Theory and Lie Symmetries
Post-Lie Algebras and Isospectral Flows
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post–Winternitz System
Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter
Harmonic Oscillator on the $\mathrm{SO}(2,2)$ Hyperboloid
Multispecies Weighted Hurwitz Numbers
A Classical Limit of Noumi's $q$-Integral Operator
Slavnov and Gaudin–Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain
Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$
Hankel Determinants of Zeta Values