Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 5, 2009

Second-Order Conformally Equivariant Quantization in Dimension 1|2
Najla Mellouli
SIGMA 5 (2009), 111, 11 pages   [ abs   pdf   ps ]
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vladimir Rubtsov, Alexey Silantyev and Dmitri Talalaev
SIGMA 5 (2009), 110, 22 pages   [ abs   pdf   ps ]
Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy
Kanehisa Takasaki
SIGMA 5 (2009), 109, 34 pages   [ abs   pdf   ps ]
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
Atsuo Kuniba, Tomoki Nakanishi and Junji Suzuki
SIGMA 5 (2009), 108, 23 pages   [ abs   pdf   ps ]
On Projective Equivalence of Univariate Polynomial Subspaces
Peter Crooks and Robert Milson
SIGMA 5 (2009), 107, 24 pages   [ abs   pdf   ps ]
Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix
Gilles Regniers and Joris Van der Jeugt
SIGMA 5 (2009), 106, 17 pages   [ abs   pdf   ps ]
Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Alexander Zuevsky
SIGMA 5 (2009), 105, 11 pages   [ abs   pdf   ps ]
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Ryu Sasaki, Wen-Li Yang and Yao-Zhong Zhang
SIGMA 5 (2009), 104, 16 pages   [ abs   pdf   ps ]
Isomorphism of Intransitive Linear Lie Equations
Jose Miguel Martins Veloso
SIGMA 5 (2009), 103, 40 pages   [ abs   pdf   ps ]
Singularity Classes of Special 2-Flags
Piotr Mormul
SIGMA 5 (2009), 102, 22 pages   [ abs   pdf   ps ]
On a Whitham-Type Equation
Sergei Sakovich
SIGMA 5 (2009), 101,  7 pages   [ abs   pdf   ps ]
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Narciso Román-Roy
SIGMA 5 (2009), 100, 25 pages   [ abs   pdf   ps ]
Geometric Structures on Spaces of Weighted Submanifolds
Brian Lee
SIGMA 5 (2009), 099, 46 pages   [ abs   pdf   ps ]
Contact Geometry of Curves
Peter J. Vassiliou
SIGMA 5 (2009), 098, 27 pages   [ abs   pdf   ps ]
Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2
Christine Scharlach
SIGMA 5 (2009), 097, 22 pages   [ abs   pdf   ps ]
Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Hans Havlicek, Boris Odehnal and Metod Saniga
SIGMA 5 (2009), 096, 15 pages   [ abs   pdf   ps ]
Geometry of Control-Affine Systems
Jeanne N. Clelland, Christopher G. Moseley and George R. Wilkens
SIGMA 5 (2009), 095, 28 pages   [ abs   pdf   ps ]
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
Igor Zelenko
SIGMA 5 (2009), 094, 21 pages   [ abs   pdf   ps ]
Compact Riemannian Manifolds with Homogeneous Geodesics
Dmitrii V. Alekseevsky and Yurii G. Nikonorov
SIGMA 5 (2009), 093, 16 pages   [ abs   pdf   ps ]
Existence and Construction of Vessiot Connections
Dirk Fesser and Werner M. Seiler
SIGMA 5 (2009), 092, 41 pages   [ abs   pdf   ps ]
A Method for Weight Multiplicity Computation Based on Berezin Quantization
David Bar-Moshe
SIGMA 5 (2009), 091, 12 pages   [ abs   pdf   ps ]
Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology
Stefan Hollands
SIGMA 5 (2009), 090, 45 pages   [ abs   pdf   ps ]
Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
Bijan Bagchi and Andreas Fring
SIGMA 5 (2009), 089,  2 pages   [ abs   pdf   ps ]
Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
Misha V. Feigin
SIGMA 5 (2009), 088, 10 pages   [ abs   pdf   ps ]
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
James Carlson, Mark Green and Phillip Griffiths
SIGMA 5 (2009), 087, 40 pages   [ abs   pdf   ps ]
Natural Intrinsic Geometrical Symmetries
Stefan Haesen and Leopold Verstraelen
SIGMA 5 (2009), 086, 15 pages   [ abs   pdf   ps ]
Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
Miloslav Znojil
SIGMA 5 (2009), 085, 21 pages   [ abs   pdf   ps ]
Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
Christiane Quesne
SIGMA 5 (2009), 084, 24 pages   [ abs   pdf   ps ]
Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
T.K. Jana and P. Roy
SIGMA 5 (2009), 083,  7 pages   [ abs   pdf   ps ]
Higher Order Connections
Michael G. Eastwood
SIGMA 5 (2009), 082, 10 pages   [ abs   pdf   ps ]
Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition
Matthias Hammerl and Katja Sagerschnig
SIGMA 5 (2009), 081, 29 pages   [ abs   pdf   ps ]
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Derek K. Wise
SIGMA 5 (2009), 080, 18 pages   [ abs   pdf   ps ]
About Twistor Spinors with Zero in Lorentzian Geometry
Felipe Leitner
SIGMA 5 (2009), 079, 12 pages   [ abs   pdf   ps ]
On Spinor Varieties and Their Secants
Laurent Manivel
SIGMA 5 (2009), 078, 22 pages   [ abs   pdf   ps ]
On the Structure of Lie Pseudo-Groups
Peter J. Olver, Juha Pohjanpelto and Francis Valiquette
SIGMA 5 (2009), 077, 14 pages   [ abs   pdf   ps ]
The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One
Abdallah Ghressi and Lotfi Khériji
SIGMA 5 (2009), 076, 22 pages   [ abs   pdf   ps ]
Image Sampling with Quasicrystals
Mark Grundland, Jirí Patera, Zuzana Masáková and Neil A. Dodgson
SIGMA 5 (2009), 075, 23 pages   [ abs   pdf   ps ]
Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Nikolai Neumaier and Stefan Waldmann
SIGMA 5 (2009), 074, 29 pages   [ abs   pdf   ps ]
On Linear Differential Equations Involving a Para-Grassmann Variable
Toufik Mansour and Matthias Schork
SIGMA 5 (2009), 073, 26 pages   [ abs   pdf   ps ]
Clifford Fibrations and Possible Kinematics
Alan S. McRae
SIGMA 5 (2009), 072, 18 pages   [ abs   pdf   ps ]
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets
Mohamed Ali Mourou
SIGMA 5 (2009), 071, 12 pages   [ abs   pdf   ps ]
On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Vladimir D. Ivashchuk and Vitaly N. Melnikov
SIGMA 5 (2009), 070, 34 pages   [ abs   pdf   ps ]
Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
Alexander I. Nesterov
SIGMA 5 (2009), 069, 17 pages   [ abs   pdf   ps ]
Boundaries of Graphs of Harmonic Functions
Daniel Fox
SIGMA 5 (2009), 068,  8 pages   [ abs   pdf   ps ]
Symplectic Applicability of Lagrangian Surfaces
Emilio Musso and Lorenzo Nicolodi
SIGMA 5 (2009), 067, 18 pages   [ abs   pdf   ps ]
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Graham S. Hall and David P. Lonie
SIGMA 5 (2009), 066, 23 pages   [ abs   pdf   ps ]
Monopoles and Modifications of Bundles over Elliptic Curves
Andrey M. Levin, Mikhail A. Olshanetsky and Andrei V. Zotov
SIGMA 5 (2009), 065, 22 pages   [ abs   pdf   ps ]
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
Alexander A. Andrianov and Andrey V. Sokolov
SIGMA 5 (2009), 064, 26 pages   [ abs   pdf   ps ]
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Roberto Ferreiro Pérez and Jaime Muñoz Masqué
SIGMA 5 (2009), 063,  7 pages   [ abs   pdf   ps ]
On the Moore Formula of Compact Nilmanifolds
Hatem Hamrouni
SIGMA 5 (2009), 062,  7 pages   [ abs   pdf   ps ]
Cartan Connections and Lie Algebroids
Michael Crampin
SIGMA 5 (2009), 061, 13 pages   [ abs   pdf   ps ]
Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
Sofiane Bouarroudj, Pavel Grozman and Dimitry Leites
SIGMA 5 (2009), 060, 63 pages   [ abs   pdf   ps ]
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Fokko J. van de Bult and Eric M. Rains
SIGMA 5 (2009), 059, 31 pages   [ abs   pdf   ps ]
Extension Phenomena for Holomorphic Geometric Structures
Benjamin McKay
SIGMA 5 (2009), 058, 45 pages   [ abs   pdf   ps ]
Dunkl Operators and Canonical Invariants of Reflection Groups
Arkady Berenstein and Yurii Burman
SIGMA 5 (2009), 057, 18 pages   [ abs   pdf   ps ]
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
Luigi Accardi and Andreas Boukas
SIGMA 5 (2009), 056, 31 pages   [ abs   pdf   ps ]
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Robin Langer, Michael J. Schlosser and S. Ole Warnaar
SIGMA 5 (2009), 055, 20 pages   [ abs   pdf   ps ]
Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Yasushi Komori, Masatoshi Noumi and Jun'ichi Shiraishi
SIGMA 5 (2009), 054, 40 pages   [ abs   pdf   ps ]
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 and J.D. Vergara
SIGMA 5 (2009), 053, 22 pages   [ abs   pdf   ps ]
Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
Nikolay M. Bogoliubov
SIGMA 5 (2009), 052, 11 pages   [ abs   pdf   ps ]
Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
Ion C. Baianu, James F. Glazebrook and Ronald Brown
SIGMA 5 (2009), 051, 70 pages   [ abs   pdf   ps ]
Partial Sums of Two Quartic q-Series
Wenchang Chu and Chenying Wang
SIGMA 5 (2009), 050, 19 pages   [ abs   pdf   ps ]
Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case
Simon N.M. Ruijsenaars
SIGMA 5 (2009), 049, 21 pages   [ abs   pdf   ps ]
Singularities of Affine Schubert Varieties
Jochen Kuttler and Venkatramani Lakshmibai
SIGMA 5 (2009), 048, 31 pages   [ abs   pdf   ps ]
PT Symmetry and QCD: Finite Temperature and Density
Michael C. Ogilvie and Peter N. Meisinger
SIGMA 5 (2009), 047, 14 pages   [ abs   pdf   ps ]
Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
Christiane Quesne
SIGMA 5 (2009), 046, 17 pages   [ abs   pdf   ps ]
The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Enli Guo, Xiaohuan Mo and Xianqiang Zhang
SIGMA 5 (2009), 045,  7 pages   [ abs   pdf   ps ]
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings
Robert Coquereaux and Gil Schieber
SIGMA 5 (2009), 044, 31 pages   [ abs   pdf   ps ]
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
Rafael de la Madrid
SIGMA 5 (2009), 043, 14 pages   [ abs   pdf   ps ]
A Lax Formalism for the Elliptic Difference Painlevé Equation
Yasuhiko Yamada
SIGMA 5 (2009), 042, 15 pages   [ abs   pdf   ps ]
A First Order q-Difference System for the BC1-Type Jackson Integral and Its Applications
Masahiko Ito
SIGMA 5 (2009), 041, 14 pages   [ abs   pdf   ps ]
Middle Convolution and Heun's Equation
Kouichi Takemura
SIGMA 5 (2009), 040, 22 pages   [ abs   pdf   ps ]
Intertwining Symmetry Algebras of Quantum Superintegrable Systems
Juan A. Calzada, Javier Negro and Mariano A. del Olmo
SIGMA 5 (2009), 039, 23 pages   [ abs   pdf   ps ]
Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Alphonse P. Magnus
SIGMA 5 (2009), 038, 12 pages   [ abs   pdf   ps ]
Hilbert Transforms Associated with Dunkl-Hermite Polynomials
Néjib Ben Salem and Taha Samaali
SIGMA 5 (2009), 037, 17 pages   [ abs   pdf   ps ]
Three Natural Generalizations of Fedosov Quantization
Klaus Bering
SIGMA 5 (2009), 036, 21 pages   [ abs   pdf   ps ]
Hypergeometric τ-Functions of the q-Painlevé System of Type E7(1)
Tetsu Masuda
SIGMA 5 (2009), 035, 30 pages   [ abs   pdf   ps ]
Homological Algebra and Divergent Series
Vassily Gorbounov and Vadim Schechtman
SIGMA 5 (2009), 034, 31 pages   [ abs   pdf   ps ]
Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
Satoshi Tsujimoto and Alexei Zhedanov
SIGMA 5 (2009), 033, 30 pages   [ abs   pdf   ps ]
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Helene Airault
SIGMA 5 (2009), 032, 11 pages   [ abs   pdf   ps ]
Differential and Functional Identities for the Elliptic Trilogarithm
Ian A.B. Strachan
SIGMA 5 (2009), 031, 12 pages   [ abs   pdf   ps ]
Nonlocal Operational Calculi for Dunkl Operators
Ivan H. Dimovski and Valentin Z. Hristov
SIGMA 5 (2009), 030, 16 pages   [ abs   pdf   ps ]
Limits of Gaudin Systems: Classical and Quantum Cases
Alexander Chervov, Gregorio Falqui and Leonid Rybnikov
SIGMA 5 (2009), 029, 17 pages   [ abs   pdf   ps ]
Hochschild Cohomology and Deformations of Clifford-Weyl Algebras
Ian M. Musson, Georges Pinczon and Rosane Ushirobira
SIGMA 5 (2009), 028, 27 pages   [ abs   pdf   ps ]
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Kazunori Kuroki
SIGMA 5 (2009), 027, 21 pages   [ abs   pdf   ps ]
Induced Modules for Affine Lie Algebras
Vyacheslav Futorny and Iryna Kashuba
SIGMA 5 (2009), 026, 14 pages   [ abs   pdf   ps ]
Inversion Formulas for the Spherical Radon-Dunkl Transform
Zhongkai Li and Futao Song
SIGMA 5 (2009), 025, 15 pages   [ abs   pdf   ps ]
Bäcklund Transformations for First and Second Painlevé Hierarchies
Ayman Hashem Sakka
SIGMA 5 (2009), 024, 11 pages   [ abs   pdf   ps ]
Nonlinear Dirac Equations
Wei Khim Ng and Rajesh R. Parwani
SIGMA 5 (2009), 023, 20 pages   [ abs   pdf   ps ]
Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures
Stere Ianus, Mihai Visinescu and Gabriel Eduard Vîlcu
SIGMA 5 (2009), 022, 12 pages   [ abs   pdf   ps ]
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Miroslav Englis and Harald Upmeier
SIGMA 5 (2009), 021, 30 pages   [ abs   pdf   ps ]
Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
Amira Ghorbel and Hatem Hamrouni
SIGMA 5 (2009), 020, 17 pages   [ abs   pdf   ps ]
Besov-Type Spaces on Rd and Integrability for the Dunkl Transform
Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi and Mohamed Sifi
SIGMA 5 (2009), 019, 15 pages   [ abs   pdf   ps ]
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
Gusein Sh. Guseinov
SIGMA 5 (2009), 018, 28 pages   [ abs   pdf   ps ]
Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
Andrei V. Smilga
SIGMA 5 (2009), 017, 13 pages   [ abs   pdf   ps ]
Imaginary Powers of the Dunkl Harmonic Oscillator
Adam Nowak and Krzysztof Stempak
SIGMA 5 (2009), 016, 12 pages   [ abs   pdf   ps ]
The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space
Armen G. Sergeev
SIGMA 5 (2009), 015, 20 pages   [ abs   pdf   ps ]
Simple Finite Jordan Pseudoalgebras
Pavel Kolesnikov
SIGMA 5 (2009), 014, 17 pages   [ abs   pdf   ps ]
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Jean-Christophe Wallet
SIGMA 5 (2009), 013, 25 pages   [ abs   pdf   ps ]
Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Ta Khongsap and Weiqiang Wang
SIGMA 5 (2009), 012, 27 pages   [ abs   pdf   ps ]
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Maxim V. Pavlov and Ziemowit Popowicz
SIGMA 5 (2009), 011, 10 pages   [ abs   pdf   ps ]
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito and Yoshihiro Takeyama
SIGMA 5 (2009), 010, 12 pages   [ abs   pdf   ps ]
Self-Consistent-Field Method and τ-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
Seiya Nishiyama, João da Providência, Constança Providência, Flávio Cordeiro and Takao Komatsu
SIGMA 5 (2009), 009, 76 pages   [ abs   pdf   ps ]
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
Ernest G. Kalnins, Jonathan M. Kress, Willard Miller Jr. and Sarah Post
SIGMA 5 (2009), 008, 24 pages   [ abs   pdf   ps ]
On the Spectrum of a Discrete Non-Hermitian Quantum System
Ebru Ergun
SIGMA 5 (2009), 007, 24 pages   [ abs   pdf   ps ]
Heisenberg-Type Families in Uq(^sl2)
Alexander Zuevsky
SIGMA 5 (2009), 006,   4 pages   [ abs   pdf   ps ]
Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Ulrich D. Jentschura, Andrey Surzhykov and Jean Zinn-Justin
SIGMA 5 (2009), 005, 10 pages   [ abs   pdf   ps ]
Remarks on Multi-Dimensional Conformal Mechanics
Cestmír Burdík and Armen Nersessian
SIGMA 5 (2009), 004,   8 pages   [ abs   pdf   ps ]
Quiver Varieties and Branching
Hiraku Nakajima
SIGMA 5 (2009), 003, 37 pages   [ abs   pdf   ps ]
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Aristophanes Dimakis and Folkert Müller-Hoissen
SIGMA 5 (2009), 002, 18 pages   [ abs   pdf   ps ]
Three-Hilbert-Space Formulation of Quantum Mechanics
Miloslav Znojil
SIGMA 5 (2009), 001, 19 pages   [ abs   pdf   ps ]

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