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Symmetry, integrability and geometry: methods and applications
Tome 5 (2009)
Précédent Suivant


Three-Hilbert-Space Formulation of Quantum Mechanics
Miloslav Znojil

Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Aristophanes Dimakis ; Folkert Müller-Hoissen

Quiver Varieties and Branching
Hiraku Nakajima

Remarks on Multi-Dimensional Conformal Mechanics
Cestmír Burdík ; Armen Nersessian

Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Ulrich D. Jentschura ; Andrey Surzhykov ; Jean Zinn-Justin

Heisenberg-Type Families in $U_q(\widehat{sl_2})$
Alexander Zuevsky

On the Spectrum of a Discrete Non-Hermitian Quantum System
Ebru Ergun

Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
Ernest G. Kalnins ; Jonathan M. Kress ; Willard Miller Jr. ; Sarah Post

Self-Consistent-Field Method and $\tau$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
Seiya Nishiyama ; João da Providência ; Constança Providência ; Flávio Cordeiro ; Takao Komatsu

The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei ; Michitomo Nishizawa ; Yoshihisa Saito ; Yoshihiro Takeyama

On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Maxim V. Pavlov ; Ziemowit Popowicz

Hecke–Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Ta Khongsap ; Weiqiang Wang

Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Jean-Christophe Wallet

Simple Finite Jordan Pseudoalgebras
Pavel Kolesnikov

The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space
Armen G. Sergeev

Imaginary Powers of the Dunkl Harmonic Oscillator
Adam Nowak ; Krzysztof Stempak

Comments on the Dynamics of the Pais–Uhlenbeck Oscillator
Andrei V. Smilga

Inverse Spectral Problems for Tridiagonal $N$ by $N$ Complex Hamiltonians
Gusein Sh. Guseinov

Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform
Chokri Abdelkefi ; Jean-Philippe Anker ; Feriel Sassi ; Mohamed Sifi

Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
Amira Ghorbel ; Hatem Hamrouni

Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Miroslav Englis ; Harald Upmeier

Conformal Killing–Yano Tensors on Manifolds with Mixed 3-Structures
Stere Ianus ; Mihai Visinescu ; Gabriel Eduard Vîlcu

Nonlinear Dirac Equations
Wei Khim Ng ; Rajesh R. Parwani

Bäcklund Transformations for First and Second Painlevé Hierarchies
Ayman Hashem Sakka

Inversion Formulas for the Spherical Radon–Dunkl Transform
Zhongkai Li ; Futao Song

Induced Modules for Affine Lie Algebras
Vyacheslav Futorny ; Iryna Kashuba

$q$-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Kazunori Kuroki

Hochschild Cohomology and Deformations of Clifford–Weyl Algebras
Ian M. Musson ; Georges Pinczon ; Rosane Ushirobira

Limits of Gaudin Systems: Classical and Quantum Cases
Alexander Chervov ; Gregorio Falqui ; Leonid Rybnikov

Nonlocal Operational Calculi for Dunkl Operators
Ivan H. Dimovski ; Valentin Z. Hristov

Differential and Functional Identities for the Elliptic Trilogarithm
Ian A. B. Strachan

Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Helene Airault

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
Satoshi Tsujimoto ; Alexei Zhedanov

Homological Algebra and Divergent Series
Vassily Gorbounov ; Vadim Schechtman

Hypergeometric $\tau$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$
Tetsu Masuda

Three Natural Generalizations of Fedosov Quantization
Klaus Bering

Hilbert Transforms Associated with Dunkl–Hermite Polynomials
Néjib Ben Salem ; Taha Samaali

Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Alphonse P. Magnus

Intertwining Symmetry Algebras of Quantum Superintegrable Systems
Juan A. Calzada ; Javier Negro ; Mariano A. del Olmo

Middle Convolution and Heun's Equation
Kouichi Takemura

A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications
Masahiko Ito

A Lax Formalism for the Elliptic Difference Painlevé Equation
Yasuhiko Yamada

The Analytic Continuation of the Lippmann–Schwinger Eigenfunctions, and Antiunitary Symmetries
Rafael de la Madrid

Quantum Symmetries for Exceptional $\mathrm{SU}(4)$ Modular Invariants Associated with Conformal Embeddings
Robert Coquereaux ; Gil Schieber

The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Enli Guo ; Xiaohuan Mo ; Xianqiang Zhang

Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
Christiane Quesne

$\mathcal{PT}$ Symmetry and QCD: Finite Temperature and Density
Michael C. Ogilvie ; Peter N. Meisinger

Singularities of Affine Schubert Varieties
Jochen Kuttler ; Venkatramani Lakshmibai

Hilbert–Schmidt Operators vs. Integrable Systems of Elliptic Calogero–Moser Type. III. The Heun Case
Simon N. M. Ruijsenaars

Partial Sums of Two Quartic $q$-Series
Wenchang Chu ; Chenying Wang

Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
Ion C. Baianu ; James F. Glazebrook ; Ronald Brown

Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
Nikolay M. Bogolyubov

An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais–Uhlenbeck Oscillator
A. Déctor ; H. A. Morales-Técotl ; L. F. Urrutia ; J. D. Vergara

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Yasushi Komori ; Masatoshi Noumi ; Jun'ichi Shiraishi

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Robin Langer ; Michael J. Schlosser ; S. Ole Warnaar

Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
Luigi Accardi ; Andreas Boukas

Dunkl Operators and Canonical Invariants of Reflection Groups
Arkady Berenstein ; Yurii Burman

Extension Phenomena for Holomorphic Geometric Structures
Benjamin McKay

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Fokko J. van de Bult ; Eric M. Rains

Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
Sofiane Bouarroudj ; Pavel Grozman ; Dimitry Leites

Cartan Connections and Lie Algebroids
Michael Crampin

On the Moore Formula of Compact Nilmanifolds
H. Hamrouni

Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Roberto Ferreiro Pérez ; Jaime Muñoz Masqué

Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
Alexander A. Andrianov ; Andrey V. Sokolov

Monopoles and Modifications of Bundles over Elliptic Curves
Andrey M. Levin ; Mikhail A. Olshanetsky ; Andrei V. Zotov

Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Graham S. Hall ; David P. Lonie

Symplectic Applicability of Lagrangian Surfaces
Emilio Musso ; Lorenzo Nicolodi

Boundaries of Graphs of Harmonic Functions
D. Fox

Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
Alexander I. Nesterov

On Brane Solutions Related to Non-Singular Kac–Moody Algebras
Vladimir D. Ivashchuk ; Vitaly N. Melnikov

Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets
Mohamed Ali Mourou

Clifford Fibrations and Possible Kinematics
Alan S. McRae

On Linear Differential Equations Involving a Para-Grassmann Variable
Toufik Mansour ; Matthias Schork

Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Nikolai Neumaier ; Stefan Waldmann

Image Sampling with Quasicrystals
Mark Grundland ; Jirí Patera ; Zuzana Masáková ; Neil A. Dodgson

The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One
Abdallah Ghressi ; Lotfi Khériji

On the Structure of Lie Pseudo-Groups
Peter J. Olver ; Juha Pohjanpelto ; Francis Valiquette

On Spinor Varieties and Their Secants
Laurent Manivel

About Twistor Spinors with Zero in Lorentzian Geometry
Felipe Leitner

Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Derek K. Wise

Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition
Matthias Hammerl ; Katja Sagerschnig

Higher Order Connections
Michael G. Eastwood

Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
T. K. Jana ; P. Roy

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
Christiane Quesne

Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
Miloslav Znojil

Natural Intrinsic Geometrical Symmetries
Stefan Haesen ; Leopold Verstraelen

Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
Mark Green ; James Carlson ; Phillip Griffiths

Trigonometric Solutions of WDVV Equations and Generalized Calogero–Moser–Sutherland Systems
Misha V. Feigin

Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty”
Bijan Bagchi ; Andreas Fring

Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology
Stefan Hollands

A Method for Weight Multiplicity Computation Based on Berezin Quantization
David Bar-Moshe

Existence and Construction of Vessiot Connections
Dirk Fesser ; Werner M. Seiler

Compact Riemannian Manifolds with Homogeneous Geodesics
Dmitrii V. Alekseevskii ; Yurii G. Nikonorov

On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
Igor Zelenko

Geometry of Control-Affine Systems
Jeanne N. Clelland ; Christopher G. Moseley ; George R. Wilkens

Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Hans Havlicek ; Boris Odehnal ; Metod Saniga

Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2
Christine Scharlach

Contact Geometry of Curves
Peter J. Vassiliou

Geometric Structures on Spaces of Weighted Submanifolds
Brian Lee

Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Narciso Román-Roy

On a Whitham-Type Equation
Sergei Sakovich

Singularity Classes of Special 2-Flags
Piotr Mormul

Isomorphism of Intransitive Linear Lie Equations
Jose Miguel Martins Veloso

Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Ryu Sasaki ; Wen-Li Yang ; Yao-Zhong Zhang

Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Alexander Zuevsky

Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix
Gilles Regniers ; Joris Van der Jeugt

On Projective Equivalence of Univariate Polynomial Subspaces
Peter Crooks ; Robert Milson

T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac–Moody Algebras
Atsuo Kuniba ; Tomoki Nakanishi ; Junji Suzuki

Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff–Toda Hierarchy
Kanehisa Takasaki

Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vladimir Rubtsov ; Alexey Silantyev ; Dmitri Talalaev

Second-Order Conformally Equivariant Quantization in Dimension $1|2$
Najla Mellouli
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