Geodesic

Tome 10 (2014)

Sommaire

On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Global Embedding of the Reissner–Nordström Metric in the Flat Ambient Space
Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
The Master $T$-Operator for Inhomogeneous $XXX$ Spin Chain and mKP Hierarchy
The $(n,1)$-Reduced DKP Hierarchy, the String Equation and $W$ Constraints
Systems of Differential Operators and Generalized Verma Modules
The Heisenberg Relation — Mathematical Formulations
Exploring the Causal Structures of Almost Commutative Geometries
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency
On the Smoothness of the Noncommutative Pillow and Quantum Teardrops
Second Order Symmetries of the Conformal Laplacian
Dynamics of an Inverting Tippe Top
Fukaya Categories as Categorical Morse Homology
Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
The Sturm–Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
Commutative Families of the Elliptic Macdonald Operator
The Real $K$-Theory of Compact Lie Groups
Dispersionless BKP Hierarchy and Quadrant Löwner Equation
M-Theory with Framed Corners and Tertiary Index Invariants
A Characterization of Invariant Connections
Symmetry Groups of $A_n$ Hypergeometric Series
The Structure of Line Bundles over Quantum Teardrops
Rigged Configurations and Kashiwara Operators
On Projections in the Noncommutative 2-Torus Algebra
Tilting Modules in Truncated Categories
Nontrivial Deformation of a Trivial Bundle
Modules with Demazure Flags and Character Formulae
Hyperkähler Manifolds of Curves in Twistor Spaces
Integrable Background Geometries
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski–West Construction
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Twistor Theory of the Airy Equation
A “Continuous” Limit of the Complementary Bannai–Ito Polynomials: Chihara Polynomials
Fusion Procedure for Cyclotomic Hecke Algebras
Mystic Reflection Groups
A Notable Relation between $N$-Qubit and $2^{N-1}$-Qubit Pauli Groups via Binary $\mathrm{LGr}(N,2N)$
Twistors and Bi-Hermitian Surfaces of Non-Kähler Type
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
Bäcklund–Darboux Transformations and Discretizations of Super KdV Equation
Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$
Graded Limits of Minimal Affinizations in Type $D$
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
The Classification of All Crossed Products $H_4 \# k[C_{n}]$
Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$
Gravity in Twistor Space and its Grassmannian Formulation
Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
Two-Point Functions on Deformed Spacetime
Ordered $*$-Semigroups and a $C^*$-Correspondence for a Partial Isometry
Integrable Systems Related to Deformed $\mathfrak{so}(5)$
Induced Representations and Hypergroupoids
Schur Positivity and Kirillov–Reshetikhin Modules
Configurations of an Articulated Arm and Singularities of Special Multi-Flags
Local Proof of Algebraic Characterization of Free Actions
Twistor Topology of the Fermat Cubic
Deformations of the Canonical Commutation Relations and Metric Structures
Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
Non-Commutative Resistance Networks
Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras
Non-Point Invertible Transformations and Integrability of Partial Difference Equations
Asymptotic Analysis of the Ponzano–Regge Model with Non-Commutative Metric Boundary Data
Groupoid Actions on Fractafolds
Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System $\mathrm{G(1112)}$
On the Conjectures Regarding the 4-Point Atiyah Determinant
Spherical Functions of Fundamental $K$-Types Associated with the $n$-Dimensional Sphere
The GraviGUT Algebra Is not a Subalgebra of $E_8$, but $E_8$ Does Contain an Extended GraviGUT Algebra
Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
The Soccer-Ball Problem
Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
Quantitative $K$-Theory Related to Spin Chern Numbers
Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to $2+1$ Gravity
The Variety of Integrable Killing Tensors on the 3-Sphere
Werner's Measure on Self-Avoiding Loops and Welding
Locally Compact Quantum Groups. A von Neumann Algebra Approach
Generalised Chern–Simons Theory and $\mathrm{G}_2$-Instantons over Associative Fibrations
A Compact Formula for Rotations as Spin Matrix Polynomials
The Ongoing Impact of Modular Localization on Particle Theory
Matrix Bases for Star Products: a Review
Exact Free Energies of Statistical Systems on Random Networks
Piecewise Principal Coactions of Co-Commutative Hopf Algebras
Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
Hypergeometric Solutions of the $A_4^{(1)}$-Surface $q$-Painlevé IV Equation
A Reciprocal Transformation for the Constant Astigmatism Equation
Beables/Observables in Classical and Quantum Gravity
Generalized Coefficients for Hopf Cyclic Cohomology
$\mathcal{A}=\mathcal{U}$ for Locally Acyclic Cluster Algebras
Algebraic Geometry of Matrix Product States
Invariant Poisson Realizations and the Averaging of Dirac Structures
Quantum Dimension and Quantum Projective Spaces
Center of Twisted Graded Hecke Algebras for Homocyclic Groups
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Selective Categories and Linear Canonical Relations
Who's Afraid of the Hill Boundary?
Particle Motion in Monopoles and Geodesics on Cones
On Certain Wronskians of Multiple Orthogonal Polynomials
Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
Everywhere Equivalent 3-Braids
$\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
$\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
The Generic Superintegrable System on the $3$-Sphere and the ${9j}$ Symbols of ${\mathfrak{su}(1,1)}$
Prequantization of the Moduli Space of Flat $\mathrm{PU}(p)$-Bundles with Prescribed Boundary Holonomies
Demazure Modules, Chari–Venkatesh Modules and Fusion Products
Mach-Type Soliton in the Novikov–Veselov Equation
Configurations of Points and the Symplectic Berry–Robbins Problem
Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One
Periodic Vortex Streets and Complex Monodromy
The Freiheitssatz for Generic Poisson Algebras
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Confluent Cherednik Algebras