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Symmetry, integrability and geometry: methods and applications
Tome 6 (2010)
Précédent Suivant


Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Zdenka Riečanová

On a Nonlocal Ostrovsky–Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Jołanta Golenia ; Maxim V. Pavlov ; Ziemowit Popowicz ; Anatoliy K. Prykarpatsky

Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
Jan Paseka

Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
V. V. Kudryashov ; Yu. A. Kurochkin ; E. M. Ovsiyuk ; V. M. Red'kov

Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
Giovanni Calvaruso ; Eduardo García-Río

Peterson's Deformations of Higher Dimensional Quadrics
Ion I. Dincă

Quantum Isometry Group for Spectral Triples with Real Structu
Debashish Goswami

On Special Berwald Metrics
Akbar Tayebi ; Esmaeil Peyghan

$\mathcal P\mathcal T$ Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
Emanuela Caliceti ; Francesco Cannata ; Sandro Graffi

$q$-Analog of Gelfand–Graev Basis for the Noncompact Quantum Algebra $U_q(u(n,1))$
Raisa M. Asherova ; Čestmír Burdík ; Miloslav Havlíček ; Yuri F. Smirnov ; Valeriy N. Tolstoy

Krein Spaces in de Sitter Quantum Theories
Jean-Pierre Gazeau ; Petr Siegl ; Ahmed Youssef

Bäcklund Transformations for the Trigonometric Gaudin Magnet
Orlando Ragnisco ; Federico Zullo

Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for $A^{(1)}_n$
Atsuo Kuniba ; Taichiro Takagi

$Q$-system Cluster Algebras, Paths and Total Positivity
Philippe Di Francesco ; Rinat Kedem

Anharmonic Oscillators with Infinitely Many Real Eigenvalues and $\mathcal{PT}$-Symmetry
Kwang C. Shin

From Noncommutative Sphere to Nonrelativistic Spin
Alexei A. Deriglazov

Solitary Waves in Massive Nonlinear $\mathbb S^N$-Sigma Models
Alberto Alonso Izquierdo ; Miguel Ángel González León ; Marina de la Torre Mayado

The Integrability of New Two-Component KdV Equation
Ziemowit Popowicz

Emergent Abelian Gauge Fields from Noncommutative Gravity
Allen Stern

Geodesic Reduction via Frame Bundle Geometry
Ajit Bhand

On the Existence of a Codimension 1 Completely Integrable Totally Geodesic Distribution on a Pseudo-Riemannian Heisenberg Group
Wafaa Batat ; Salima Rahmani

Zero Action on Perfect Crystals for $U_q(G_2^{(1)})$
Kailash C. Misra ; Mahathir Mohamad ; Masato Okado

Epsilon Systems on Geometric Crystals of type $A_n$
Toshiki Nakashima

Ordering of Energy Levels for Extended $\mathrm{SU}(N)$ Hubbard Chain
Tigran Hakobyan

Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
Matthew England

Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Eric Cagnache ; Jean-Christophe Wallet

Level Set Structure of an Integrable Cellular Automaton
Taichiro Takagi

Yang–Baxter Maps from the Discrete BKP Equation
Saburo Kakei ; Jonathan J. C. Nimmo ; Ralph Willox

Jordan–Schwinger Representations and Factorised Yang–Baxter Operators
David Karakhanyan ; Roland Kirschner

Baker–Akhiezer Modules on Rational Varieties
Irina A. Melnik ; Andrey E. Mironov

On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff–Love Constraints
Vasyl Kovalchuk

A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Jérôme Dubois ; Igor G. Korepanov ; Evgeniy V. Martyushev

On Quadrirational Yang–Baxter Maps
V. G. Papageorgiou ; Yu. B. Suris ; A. G. Tongas ; A. P. Veselov

The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
Oksana Ye. Hentosh

Monomial Crystals and Partition Crystals
Peter Tingley

Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions
Ralph M. Kaufmann

One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative $p^{-2}$ $U(1)$ Gauge Model
Daniel N. Blaschke ; Arnold Rofner ; René I. P. Sedmik

Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Xavier Bekaert ; Maxim Grigoriev

Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Birgit Wehefritz-Kaufmann

Integral calculus on $E_q(2)$
Tomasz Brzeziński

Strong Field, Noncommutative QED
Anton Ilderton ; Joakim Lundin ; Mattias Marklund

Discrete Minimal Surface Algebras
Joakim Arnlind ; Jens Hoppe

Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
David M. Schmidtt

Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
V. S. Gerdjikov ; G. G. Grahovski

The Noncommutative Ward Metric
O. Lechtenfeld ; M. Maceda

The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
B. J. Durhuus ; V. Gayral

Translation-Invariant Noncommutative Renormalization
Adrian Tanasa

On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Axel de Goursac

Finite Unification: Theory and Predictions
Sven Heinemeyer ; Myriam Mondragón ; George Zoupanos

The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
Christian Sämann

Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Warisa Nakpim ; Sergey V. Meleshko

Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
Aiyalam P. Balachandran ; Alberto Ibort ; Giuseppe Marmo ; Mario Martone

Cosmological Symmetry Breaking and Generation of Electromagnetic Field
Michiyasu Nagasawa

Horizontal Forms of Chern Type on Complex Finsler Bundles
Cristian Ida

Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
Aristophanes Dimakis ; Folkert Müller-Hoissen

A Note on Dirac Operators on the Quantum Punctured Disk
Slawomir Klimek ; Matt McBride

A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea ; Pierre Martinetti

Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Horatiu Nastase ; Constantinos Papageorgakis

Noncommutativity and Duality through the Symplectic Embedding Formalism
Everton M. C. Abreu ; Albert C. R. Mendes ; Wilson Oliveira

Exotic Galilean Symmetry and Non-Commutative Mechanics
Peter A. Horváthy ; Luigi Martina ; Peter C. Stichel

Field Theory on Curved Noncommutative Spacetimes
Alexander Schenkel ; Christoph F. Uhlemann

Gauge Theories on Deformed Spaces
Daniel N. Blaschke ; Erwin Kronberger ; René I. P. Sedmik ; Michael Wohlgenannt

Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Athanasios Chatzistavrakidis ; George Zoupanos

Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
Nicolas Franco

Double Affine Hecke Algebras of Rank 1 and the $\mathbb Z_3$-Symmetric Askey–Wilson Relations
Tatsuro Ito ; Paul Terwilliger

Tools for Verifying Classical and Quantum Superintegrability
Ernest G. Kalnins ; Jonathan M. Kress ; Willard Miller Jr.

Modular Theory, Non-Commutative Geometry and Quantum Gravity
Paolo Bertozzini ; Roberto Conti ; Wicharn Lewkeeratiyutkul

Twist Quantization of String and Hopf Algebraic Symmetry
Tsuguhiko Asakawa ; Satoshi Watamura

Balanced Metrics and Noncommutative Kähler Geometry
Sergio Lukić

$C$-Integrability Test for Discrete Equations via Multiple Scale Expansions
Christian Scimiterna ; Decio Levi

Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
Kazuki Hasebe

Measure Theory in Noncommutative Spaces
Steven Lord ; Fedor Sukochev

Quantum Spacetime: a Disambiguation
Gherardo Piacitelli

Snyder Space-Time: K-Loop and Lie Triple System
Florian Girelli

Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Mikhail V. Ioffe

Erlangen Program at Large-1: Geometry of Invariants
Vladimir V. Kisil

A Canonical Trace Associated with Certain Spectral Triples
Sylvie Paycha

A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}F_n$
Takao Suzuki

Non-Perturbative Asymptotic Improvement of Perturbation Theory and Mellin–Barnes Representation
Samuel Friot ; David Greynat

Quantum Integrable 1D anyonic Models: Construction through Braided Yang–Baxter Equation
Anjan Kundu

Singular Reduction of Generalized Complex Manifolds
Timothy E. Goldberg

Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
Nicolas Crampé ; Frank Göhmann ; Andreas Klümper

The Noncommutative Doplicher–Fredenhagen–Roberts–Amorim Space
Everton M. C. Abreu ; Albert C. R. Mendes ; Wilson Oliveira ; Adriano O. Zangirolami

Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$
Nobutaka Nakazono

Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Tomoki Nakanishi ; Roberto Tateo

$\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
Andrzej Borowiec ; Anna Pachol

Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac–Moody Algebras, and Painlevé Equations
Daisuke Yamakawa

Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
S. Habib Mazharimousavi ; Omar Mustafa

Junction Type Representations of the Temperley–Lieb Algebra and Associated Symmetries
Anastasia Doikou ; Nikos Karaiskos

On a Family of $2$-Variable Orthogonal Krawtchouk Polynomials
F. Alberto Grünbaum ; Mizan Rahman

One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane–Shastry Like Spin Chains
Bireswar Basu-Mallick ; Nilanjan Bondyopadhaya ; Kazuhiro Hikami

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Sergey Ya. Startsev

Pseudo-Bosons from Landau Levels
Fabio Bagarello

Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Samuel Belliard ; Stanislav Pakuliak ; Eric Ragoucy

Irrationality of the Roots of the Yablonskii–Vorob'ev Polynomials and Relations between Them
Pieter Roffelsen

Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
Omar Cherbal ; Mahrez Drir ; Mustapha Maamache ; Dimitar A. Trifonov

A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Orlando Ragnisco ; Danilo Riglioni

Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Victor P. Berezovoj ; Glib I. Ivashkevych ; Mikhail I. Konchatnij

Notes on TQFT Wire Models and Coherence Equations for $SU(3)$ Triangular Cells
Robert Coquereaux ; Esteban Isasi ; Gil Schieber

Sklyanin Determinant for Reflection Algebra
Natasha Rozhkovskaya
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