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

Volume 9, 2013

Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
Martin Bojowald
SIGMA 9 (2013), 082, 43 pages   [ abs   pdf ]
Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
Kenny De Commer
SIGMA 9 (2013), 081, 20 pages   [ abs   pdf ]
Dirac Operators on Noncommutative Curved Spacetimes
Alexander Schenkel and Christoph F. Uhlemann
SIGMA 9 (2013), 080, 19 pages   [ abs   pdf ]
A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy
Luc Haine and Didier Vanderstichelen
SIGMA 9 (2013), 079, 42 pages   [ abs   pdf ]
Integrable Hierarchy of the Quantum Benjamin-Ono Equation
Maxim Nazarov and Evgeny Sklyanin
SIGMA 9 (2013), 078, 14 pages   [ abs   pdf ]
Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
Jan Felipe van Diejen and Erdal Emsiz
SIGMA 9 (2013), 077, 12 pages   [ abs   pdf ]
Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Eduardo Mattei and Jon Links
SIGMA 9 (2013), 076, 15 pages   [ abs   pdf ]
Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Mikhail B. Sheftel and Andrei A. Malykh
SIGMA 9 (2013), 075, 21 pages   [ abs   pdf ]
The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
Anthony D. Blaom
SIGMA 9 (2013), 074, 19 pages   [ abs   pdf ]
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
Kazuki Maeda and Satoshi Tsujimoto
SIGMA 9 (2013), 073, 12 pages   [ abs   pdf ]
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Samuel Belliard and Nicolas Crampé
SIGMA 9 (2013), 072, 12 pages   [ abs   pdf ]
Levi-Civita's Theorem for Noncommutative Tori
Jonathan Rosenberg
SIGMA 9 (2013), 071,  9 pages   [ abs   pdf ]
Ultradiscrete Painlevé VI with Parity Variables
Kouichi Takemura and Terumitsu Tsutsui
SIGMA 9 (2013), 070, 12 pages   [ abs   pdf ]
Quasicomplex N=2, d=1 Supersymmetric Sigma Models
Evgeny A. Ivanov and Andrei V. Smilga
SIGMA 9 (2013), 069, 17 pages   [ abs   pdf ]
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
Kenichi Kondo
SIGMA 9 (2013), 068, 39 pages   [ abs   pdf ]
An Index for Intersecting Branes in Matrix Models
Harold Steinacker and Jochen Zahn
SIGMA 9 (2013), 067,  7 pages   [ abs   pdf ]
Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
Aleksandr L. Lisok, Aleksandr V. Shapovalov and Andrey Yu. Trifonov
SIGMA 9 (2013), 066, 21 pages   [ abs   pdf ]
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Nelson Faustino
SIGMA 9 (2013), 065, 18 pages   [ abs   pdf ]
Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Fethi Bouzeffour
SIGMA 9 (2013), 064, 14 pages   [ abs   pdf ]
Leibniz Algebras and Lie Algebras
Geoffrey Mason and Gaywalee Yamskulna
SIGMA 9 (2013), 063, 10 pages   [ abs   pdf ]
Period Matrices of Real Riemann Surfaces and Fundamental Domains
Pietro Giavedoni
SIGMA 9 (2013), 062, 25 pages   [ abs   pdf ]
The Algebra of a q-Analogue of Multiple Harmonic Series
Yoshihiro Takeyama
SIGMA 9 (2013), 061, 15 pages   [ abs   pdf ]
Generalized Fuzzy Torus and its Modular Properties
Paul Schreivogl and Harold Steinacker
SIGMA 9 (2013), 060, 23 pages   [ abs   pdf ]
Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces
Oksana Bihun and Francesco Calogero
SIGMA 9 (2013), 059, 18 pages   [ abs   pdf ]
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy and Nikita A. Slavnov
SIGMA 9 (2013), 058, 23 pages   [ abs   pdf ]
Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials
Ernest G. Kalnins, Willard Miller Jr. and Sarah Post
SIGMA 9 (2013), 057, 28 pages   [ abs   pdf ]
Integrability of Discrete Equations Modulo a Prime
Masataka Kanki
SIGMA 9 (2013), 056,  8 pages   [ abs   pdf ]
spo(2|2)-Equivariant Quantizations on the Supercircle S1|2
Najla Mellouli, Aboubacar Nibirantiza and Fabian Radoux
SIGMA 9 (2013), 055, 17 pages   [ abs   pdf ]
Extended T-System of Type G2
Jian-Rong Li and Evgeny Mukhin
SIGMA 9 (2013), 054, 28 pages   [ abs   pdf ]
Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3
Igor G. Korepanov and Nurlan M. Sadykov
SIGMA 9 (2013), 053, 19 pages   [ abs   pdf ]
Invariant Discretization Schemes Using Evolution-Projection Techniques
Alexander Bihlo and Jean-Christophe Nave
SIGMA 9 (2013), 052, 23 pages   [ abs   pdf ]
Twisted Cyclic Cohomology and Modular Fredholm Modules
Adam Rennie, Andrzej Sitarz and Makoto Yamashita
SIGMA 9 (2013), 051, 15 pages   [ abs   pdf ]
A Connection Formula for the q-Confluent Hypergeometric Function
Takeshi Morita
SIGMA 9 (2013), 050, 13 pages   [ abs   pdf ]
A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions
Atsuo Kuniba, Masato Okado and Yasuhiko Yamada
SIGMA 9 (2013), 049, 23 pages   [ abs   pdf ]
Combinatorial Formulae for Nested Bethe Vectors
Vitaly Tarasov and Alexander Varchenko
SIGMA 9 (2013), 048, 28 pages   [ abs   pdf ]
The Universal Askey-Wilson Algebra and DAHA of Type (C1∨,C1)
Paul Terwilliger
SIGMA 9 (2013), 047, 40 pages   [ abs   pdf ]
On Addition Formulae for Sigma Functions of Telescopic Curves
Takanori Ayano and Atsushi Nakayashiki
SIGMA 9 (2013), 046, 14 pages   [ abs   pdf ]
Euler Equations Related to the Generalized Neveu-Schwarz Algebra
Dafeng Zuo
SIGMA 9 (2013), 045, 12 pages   [ abs   pdf ]
Two-Dimensional Toda-Heisenberg Lattice
Vadim E. Vekslerchik
SIGMA 9 (2013), 044, 16 pages   [ abs   pdf ]
Vector-Valued Polynomials and a Matrix Weight Function with B2-Action. II
Charles F. Dunkl
SIGMA 9 (2013), 043, 11 pages   [ abs   pdf ]
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems
Howard S. Cohl
SIGMA 9 (2013), 042, 26 pages   [ abs   pdf ]
On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations
M. Tahir Mustafa, Ahmad Y. Al-Dweik and Raed A. Mara'beh
SIGMA 9 (2013), 041, 10 pages   [ abs   pdf ]
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
Micho Đurđevich and Stephen Bruce Sontz
SIGMA 9 (2013), 040, 29 pages   [ abs   pdf ]
Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
Robert Coquereaux and Jean-Bernard Zuber
SIGMA 9 (2013), 039, 36 pages   [ abs   pdf ]
Relative Critical Points
Debra Lewis
SIGMA 9 (2013), 038, 28 pages   [ abs   pdf ]
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver
Igor Mencattini and Alberto Tacchella
SIGMA 9 (2013), 037, 13 pages   [ abs   pdf ]
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
Jeongoo Cheh
SIGMA 9 (2013), 036, 21 pages   [ abs   pdf ]
On Addition Formulae of KP, mKP and BKP Hierarchies
Yoko Shigyo
SIGMA 9 (2013), 035, 16 pages   [ abs   pdf ]
Geometry of Optimal Control for Control-Affine Systems
Jeanne N. Clelland, Christopher G. Moseley and George R. Wilkens
SIGMA 9 (2013), 034, 31 pages   [ abs   pdf ]
The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces
João Paulo dos Santos and Keti Tenenblat
SIGMA 9 (2013), 033, 27 pages   [ abs   pdf ]
On Orbifold Criteria for Symplectic Toric Quotients
Carla Farsi, Hans-Christian Herbig and Christopher Seaton
SIGMA 9 (2013), 032, 33 pages   [ abs   pdf ]
The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis
Mireille Boutin and Shanshan Huang
SIGMA 9 (2013), 031, 25 pages   [ abs   pdf ]
Pentagon Relations in Direct Sums and Grassmann Algebras
Igor G. Korepanov and Nurlan M. Sadykov
SIGMA 9 (2013), 030, 16 pages   [ abs   pdf ]
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Francis Valiquette
SIGMA 9 (2013), 029, 43 pages   [ abs   pdf ]
Free Fermi and Bose Fields in TQFT and GBF
Robert Oeckl
SIGMA 9 (2013), 028, 46 pages   [ abs   pdf ]
G-Strands and Peakon Collisions on Diff(R)
Darryl D. Holm and Rossen I. Ivanov
SIGMA 9 (2013), 027, 14 pages   [ abs   pdf ]
A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
José F. Cariñena, Partha Guha and Javier de Lucas
SIGMA 9 (2013), 026, 23 pages   [ abs   pdf ]
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics
Manoj Gopalkrishnan, Ezra Miller and Anne Shiu
SIGMA 9 (2013), 025, 25 pages   [ abs   pdf ]
Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
Peter J. Vassiliou
SIGMA 9 (2013), 024, 21 pages   [ abs   pdf ]
Object-Image Correspondence for Algebraic Curves under Projections
Joseph M. Burdis, Irina A. Kogan and Hoon Hong
SIGMA 9 (2013), 023, 31 pages   [ abs   pdf ]
Integrable Flows for Starlike Curves in Centroaffine Space
Annalisa Calini, Thomas Ivey and Gloria Marí Beffa
SIGMA 9 (2013), 022, 21 pages   [ abs   pdf ]
Ammann Tilings in Symplectic Geometry
Fiammetta Battaglia and Elisa Prato
SIGMA 9 (2013), 021, 13 pages   [ abs   pdf ]
On a Seminal Paper by Karlin and McGregor
Mirta M. Castro and F. Alberto Grünbaum
SIGMA 9 (2013), 020, 11 pages   [ abs   pdf ]
The Unruh Effect in General Boundary Quantum Field Theory
Daniele Colosi and Dennis Rätzel
SIGMA 9 (2013), 019, 22 pages   [ abs   pdf ]
Bispectrality of the Complementary Bannai-Ito Polynomials
Vincent X. Genest, Luc Vinet and Alexei Zhedanov
SIGMA 9 (2013), 018, 20 pages   [ abs   pdf ]
The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Ian M. Anderson and Mark E. Fels
SIGMA 9 (2013), 017, 22 pages   [ abs   pdf ]
A Generalization of the Hopf-Cole Transformation
Paulius Miškinis
SIGMA 9 (2013), 016, 19 pages   [ abs   pdf ]
On a Trivial Family of Noncommutative Integrable Systems
Andrey V. Tsiganov
SIGMA 9 (2013), 015, 13 pages   [ abs   pdf ]
Courant Algebroids. A Short History
Yvette Kosmann-Schwarzbach
SIGMA 9 (2013), 014,  8 pages   [ abs   pdf ]
Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
Arundhati Dasgupta
SIGMA 9 (2013), 013, 25 pages   [ abs   pdf ]
Specialized Orthonormal Frames and Embedding
Frank B. Estabrook
SIGMA 9 (2013), 012,  5 pages   [ abs   pdf ]
On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group
Jose A. Franco
SIGMA 9 (2013), 011, 10 pages   [ abs   pdf ]
The Clifford Deformation of the Hermite Semigroup
Hendrik De Bie, Bent Ørsted, Petr Somberg and Vladimir Souček
SIGMA 9 (2013), 010, 22 pages   [ abs   pdf ]
Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
Aristophanes Dimakis and Folkert Müller-Hoissen
SIGMA 9 (2013), 009, 31 pages   [ abs   pdf ]
The Construction of Spin Foam Vertex Amplitudes
Eugenio Bianchi and Frank Hellmann
SIGMA 9 (2013), 008, 22 pages   [ abs   pdf ]
Vector-Valued Polynomials and a Matrix Weight Function with B2-Action
Charles F. Dunkl
SIGMA 9 (2013), 007, 23 pages   [ abs   pdf ]
On the N-Solitons Solutions in the Novikov-Veselov Equation
Jen-Hsu Chang
SIGMA 9 (2013), 006, 13 pages   [ abs   pdf ]
Upper Bounds for Mutations of Potentials
John Alexander Cruz Morales and Sergey Galkin
SIGMA 9 (2013), 005, 13 pages   [ abs   pdf ]
Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass
Sara Cruz y Cruz and Oscar Rosas-Ortiz
SIGMA 9 (2013), 004, 21 pages   [ abs   pdf ]
From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View
Alexander V. Turbiner
SIGMA 9 (2013), 003, 25 pages   [ abs   pdf ]
Invertible Darboux Transformations
Ekaterina Shemyakova
SIGMA 9 (2013), 002, 10 pages   [ abs   pdf ]
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Changzheng Qu, Junfeng Song and Ruoxia Yao
SIGMA 9 (2013), 001, 19 pages   [ abs   pdf ]

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