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

Volume 10, 2014

Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Confluent Cherednik Algebras
Marta Mazzocco
SIGMA 10 (2014), 116, 10 pages   [ abs   pdf ]
The Freiheitssatz for Generic Poisson Algebras
Pavel S. Kolesnikov, Leonid G. Makar-Limanov and Ivan P. Shestakov
SIGMA 10 (2014), 115, 15 pages   [ abs   pdf ]
Periodic Vortex Streets and Complex Monodromy
Adrian D. Hemery and Alexander P. Veselov
SIGMA 10 (2014), 114, 18 pages   [ abs   pdf ]
Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One
Maarten van Pruijssen and Pablo Román
SIGMA 10 (2014), 113, 28 pages   [ abs   pdf ]
Configurations of Points and the Symplectic Berry-Robbins Problem
Joseph Malkoun
SIGMA 10 (2014), 112,  6 pages   [ abs   pdf ]
Mach-Type Soliton in the Novikov-Veselov Equation
Jen-Hsu Chang
SIGMA 10 (2014), 111, 14 pages   [ abs   pdf ]
Demazure Modules, Chari-Venkatesh Modules and Fusion Products
Bhimarthi Ravinder
SIGMA 10 (2014), 110, 10 pages   [ abs   pdf ]
Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies
Derek Krepski
SIGMA 10 (2014), 109, 13 pages   [ abs   pdf ]
The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1,1)
Vincent X. Genest and Luc Vinet
SIGMA 10 (2014), 108, 28 pages   [ abs   pdf ]
κ-Deformations and Extended κ-Minkowski Spacetimes
Andrzej Borowiec and Anna Pachoł
SIGMA 10 (2014), 107, 24 pages   [ abs   pdf ]
κ-Deformed Phase Space, Hopf Algebroid and Twisting
Tajron Jurić, Domagoj Kovačević and Stjepan Meljanac
SIGMA 10 (2014), 106, 18 pages   [ abs   pdf ]
Everywhere Equivalent 3-Braids
Alexander Stoimenow
SIGMA 10 (2014), 105, 22 pages   [ abs   pdf ]
Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
Sudipta Das, Souvik Pramanik and Subir Ghosh
SIGMA 10 (2014), 104, 26 pages   [ abs   pdf ]
On Certain Wronskians of Multiple Orthogonal Polynomials
Lun Zhang and Galina Filipuk
SIGMA 10 (2014), 103, 19 pages   [ abs   pdf ]
Particle Motion in Monopoles and Geodesics on Cones
Maxence Mayrand
SIGMA 10 (2014), 102, 17 pages   [ abs   pdf ]
Who's Afraid of the Hill Boundary?
Richard Montgomery
SIGMA 10 (2014), 101, 11 pages   [ abs   pdf ]
Selective Categories and Linear Canonical Relations
David Li-Bland and Alan Weinstein
SIGMA 10 (2014), 100, 31 pages   [ abs   pdf ]
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Herbert Balasin, Daniel N. Blaschke, François Gieres and Manfred Schweda
SIGMA 10 (2014), 099, 21 pages   [ abs   pdf ]
Center of Twisted Graded Hecke Algebras for Homocyclic Groups
Wee Liang Gan and Matthew Highfield
SIGMA 10 (2014), 098,  7 pages   [ abs   pdf ]
Quantum Dimension and Quantum Projective Spaces
Marco Matassa
SIGMA 10 (2014), 097, 13 pages   [ abs   pdf ]
Invariant Poisson Realizations and the Averaging of Dirac Structures
José A. Vallejo and Yurii Vorobiev
SIGMA 10 (2014), 096, 20 pages   [ abs   pdf ]
Algebraic Geometry of Matrix Product States
Andrew Critch and Jason Morton
SIGMA 10 (2014), 095, 10 pages   [ abs   pdf ]
A=U for Locally Acyclic Cluster Algebras
Greg Muller
SIGMA 10 (2014), 094,  8 pages   [ abs   pdf ]
Generalized Coefficients for Hopf Cyclic Cohomology
Mohammad Hassanzadeh, Dan Kucerovsky and Bahram Rangipour
SIGMA 10 (2014), 093, 16 pages   [ abs   pdf ]
Beables/Observables in Classical and Quantum Gravity
Edward Anderson
SIGMA 10 (2014), 092, 36 pages   [ abs   pdf ]
A Reciprocal Transformation for the Constant Astigmatism Equation
Adam Hlaváč and Michal Marvan
SIGMA 10 (2014), 091, 20 pages   [ abs   pdf ]
Hypergeometric Solutions of the A4(1)-Surface q-Painlevé IV Equation
Nobutaka Nakazono
SIGMA 10 (2014), 090, 23 pages   [ abs   pdf ]
Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
Ahmet I. Seven
SIGMA 10 (2014), 089,  5 pages   [ abs   pdf ]
Piecewise Principal Coactions of Co-Commutative Hopf Algebras
Bartosz Zieliński
SIGMA 10 (2014), 088, 20 pages   [ abs   pdf ]
Exact Free Energies of Statistical Systems on Random Networks
Naoki Sasakura and Yuki Sato
SIGMA 10 (2014), 087,  7 pages   [ abs   pdf ]
Matrix Bases for Star Products: a Review
Fedele Lizzi and Patrizia Vitale
SIGMA 10 (2014), 086, 36 pages   [ abs   pdf ]
The Ongoing Impact of Modular Localization on Particle Theory
Bert Schroer
SIGMA 10 (2014), 085, 45 pages   [ abs   pdf ]
A Compact Formula for Rotations as Spin Matrix Polynomials
Thomas L. Curtright, David B. Fairlie and Cosmas K. Zachos
SIGMA 10 (2014), 084, 15 pages   [ abs   pdf ]
Generalised Chern-Simons Theory and G2-Instantons over Associative Fibrations
Henrique N. Sá Earp
SIGMA 10 (2014), 083, 11 pages   [ abs   pdf ]
Locally Compact Quantum Groups. A von Neumann Algebra Approach
Alfons Van Daele
SIGMA 10 (2014), 082, 41 pages   [ abs   pdf ]
Werner's Measure on Self-Avoiding Loops and Welding
Angel Chavez and Doug Pickrell
SIGMA 10 (2014), 081, 42 pages   [ abs   pdf ]
The Variety of Integrable Killing Tensors on the 3-Sphere
Konrad Schöbel
SIGMA 10 (2014), 080, 48 pages   [ abs   pdf ]
Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity
Michele Arzano, Danilo Latini and Matteo Lotito
SIGMA 10 (2014), 079, 23 pages   [ abs   pdf ]
Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
F. Alberto Grünbaum
SIGMA 10 (2014), 078,  9 pages   [ abs   pdf ]
Quantitative K-Theory Related to Spin Chern Numbers
Terry A. Loring
SIGMA 10 (2014), 077, 25 pages   [ abs   pdf ]
Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
Debashish Goswami and Soumalya Joardar
SIGMA 10 (2014), 076, 18 pages   [ abs   pdf ]
Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
Yan-Gang Miao and Hui Wang
SIGMA 10 (2014), 075, 19 pages   [ abs   pdf ]
The Soccer-Ball Problem
Sabine Hossenfelder
SIGMA 10 (2014), 074,  8 pages   [ abs   pdf ]
Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
Yuri I. Manin and Matilde Marcolli
SIGMA 10 (2014), 073, 20 pages   [ abs   pdf ]
The GraviGUT Algebra Is not a Subalgebra of E8, but E8 Does Contain an Extended GraviGUT Algebra
Andrew Douglas and Joe Repka
SIGMA 10 (2014), 072, 10 pages   [ abs   pdf ]
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
Juan Alfredo Tirao and Ignacio Nahuel Zurrián
SIGMA 10 (2014), 071, 41 pages   [ abs   pdf ]
On the Conjectures Regarding the 4-Point Atiyah Determinant
Mazen N. Bou Khuzam and Michael J. Johnson
SIGMA 10 (2014), 070,  9 pages   [ abs   pdf ]
Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System G(1112)
Kazuo Kaneko
SIGMA 10 (2014), 069, 15 pages   [ abs   pdf ]
Groupoid Actions on Fractafolds
Marius Ionescu and Alex Kumjian
SIGMA 10 (2014), 068, 14 pages   [ abs   pdf ]
Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data
Daniele Oriti and Matti Raasakka
SIGMA 10 (2014), 067, 32 pages   [ abs   pdf ]
Non-Point Invertible Transformations and Integrability of Partial Difference Equations
Sergey Ya. Startsev
SIGMA 10 (2014), 066, 13 pages   [ abs   pdf ]
Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras
Ana-Loredana Agore and Gigel Militaru
SIGMA 10 (2014), 065, 16 pages   [ abs   pdf ]
Non-Commutative Resistance Networks
Marc A. Rieffel
SIGMA 10 (2014), 064, 46 pages   [ abs   pdf ]
Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions
Marija Dimitrijević, Larisa Jonke and Anna Pachoł
SIGMA 10 (2014), 063, 22 pages   [ abs   pdf ]
Deformations of the Canonical Commutation Relations and Metric Structures
Francesco D'Andrea, Fedele Lizzi and Pierre Martinetti
SIGMA 10 (2014), 062, 14 pages   [ abs   pdf ]
Twistor Topology of the Fermat Cubic
John Armstrong and Simon Salamon
SIGMA 10 (2014), 061, 12 pages   [ abs   pdf ]
Local Proof of Algebraic Characterization of Free Actions
Paul F. Baum and Piotr M. Hajac
SIGMA 10 (2014), 060,  7 pages   [ abs   pdf ]
Configurations of an Articulated Arm and Singularities of Special Multi-Flags
Fernand Pelletier and Mayada Slayman
SIGMA 10 (2014), 059, 38 pages   [ abs   pdf ]
Schur Positivity and Kirillov-Reshetikhin Modules
Ghislain Fourier and David Hernandez
SIGMA 10 (2014), 058,  9 pages   [ abs   pdf ]
Induced Representations and Hypergroupoids
Jean Renault
SIGMA 10 (2014), 057, 18 pages   [ abs   pdf ]
Integrable Systems Related to Deformed so(5)
Alina Dobrogowska and Anatol Odzijewicz
SIGMA 10 (2014), 056, 18 pages   [ abs   pdf ]
Ordered *-Semigroups and a C*-Correspondence for a Partial Isometry
Berndt Brenken
SIGMA 10 (2014), 055, 50 pages   [ abs   pdf ]
Two-Point Functions on Deformed Spacetime
Josip Trampetić and Jiangyang You
SIGMA 10 (2014), 054, 20 pages   [ abs   pdf ]
Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
Bernd J. Schroers and Matthias Wilhelm
SIGMA 10 (2014), 053, 23 pages   [ abs   pdf ]
Twisted (2+1) κ-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
Ángel Ballesteros, Francisco J. Herranz, Catherine Meusburger and Pedro Naranjo
SIGMA 10 (2014), 052, 26 pages   [ abs   pdf ]
Gravity in Twistor Space and its Grassmannian Formulation
Freddy Cachazo, Lionel Mason and David Skinner
SIGMA 10 (2014), 051, 28 pages   [ abs   pdf ]
Geometric Aspects of the Painlevé Equations PIII(D6) and PIII(D7)
Marius van der Put and Jaap Top
SIGMA 10 (2014), 050, 24 pages   [ abs   pdf ]
The Classification of All Crossed Products H4#k[Cn]
Ana-Loredana Agore, Costel-Gabriel Bontea and Gigel Militaru
SIGMA 10 (2014), 049, 12 pages   [ abs   pdf ]
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Atsushi Fujioka and Takashi Kurose
SIGMA 10 (2014), 048, 11 pages   [ abs   pdf ]
Graded Limits of Minimal Affinizations in Type D
Katsuyuki Naoi
SIGMA 10 (2014), 047, 20 pages   [ abs   pdf ]
Scalar Flat Kähler Metrics on Affine Bundles over CP1
Nobuhiro Honda
SIGMA 10 (2014), 046, 25 pages   [ abs   pdf ]
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
Ling-Ling Xue and Qing Ping Liu
SIGMA 10 (2014), 045, 10 pages   [ abs   pdf ]
Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
Charles F. Dunkl
SIGMA 10 (2014), 044, 23 pages   [ abs   pdf ]
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Maxime Dugave, Frank Göhmann and Karol Kajetan Kozlowski
SIGMA 10 (2014), 043, 18 pages   [ abs   pdf ]
Twistors and Bi-Hermitian Surfaces of Non-Kähler Type
Akira Fujiki and Massimiliano Pontecorvo
SIGMA 10 (2014), 042, 13 pages   [ abs   pdf ]
A Notable Relation between N-Qubit and 2N −1-Qubit Pauli Groups via Binary LGr(N,2N)
Frédéric Holweck, Metod Saniga and Péter Lévay
SIGMA 10 (2014), 041, 16 pages   [ abs   pdf ]
Mystic Reflection Groups
Yuri Bazlov and Arkady Berenstein
SIGMA 10 (2014), 040, 11 pages   [ abs   pdf ]
Fusion Procedure for Cyclotomic Hecke Algebras
Oleg V. Ogievetsky and Loïc Poulain d'Andecy
SIGMA 10 (2014), 039, 13 pages   [ abs   pdf ]
A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials
Vincent X. Genest, Luc Vinet and Alexei Zhedanov
SIGMA 10 (2014), 038, 18 pages   [ abs   pdf ]
Twistor Theory of the Airy Equation
Michael Cole and Maciej Dunajski
SIGMA 10 (2014), 037,  8 pages   [ abs   pdf ]
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Slawomir Klimek and Matt McBride
SIGMA 10 (2014), 036, 15 pages   [ abs   pdf ]
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction
David M.J. Calderbank
SIGMA 10 (2014), 035, 18 pages   [ abs   pdf ]
Integrable Background Geometries
David M.J. Calderbank
SIGMA 10 (2014), 034, 51 pages   [ abs   pdf ]
Hyperkähler Manifolds of Curves in Twistor Spaces
Roger Bielawski
SIGMA 10 (2014), 033, 13 pages   [ abs   pdf ]
Modules with Demazure Flags and Character Formulae
Vyjayanthi Chari, Lisa Schneider, Peri Shereen and Jeffrey Wand
SIGMA 10 (2014), 032, 16 pages   [ abs   pdf ]
Nontrivial Deformation of a Trivial Bundle
Piotr M. Hajac and Bartosz Zieliński
SIGMA 10 (2014), 031,  7 pages   [ abs   pdf ]
Tilting Modules in Truncated Categories
Matthew Bennett and Angelo Bianchi
SIGMA 10 (2014), 030, 23 pages   [ abs   pdf ]
On Projections in the Noncommutative 2-Torus Algebra
Michał Eckstein
SIGMA 10 (2014), 029, 14 pages   [ abs   pdf ]
Rigged Configurations and Kashiwara Operators
Reiho Sakamoto
SIGMA 10 (2014), 028, 88 pages   [ abs   pdf ]
The Structure of Line Bundles over Quantum Teardrops
Albert Jeu-Liang Sheu
SIGMA 10 (2014), 027, 11 pages   [ abs   pdf ]
Symmetry Groups of An Hypergeometric Series
Yasushi Kajihara
SIGMA 10 (2014), 026, 29 pages   [ abs   pdf ]
A Characterization of Invariant Connections
Maximilian Hanusch
SIGMA 10 (2014), 025, 25 pages   [ abs   pdf ]
M-Theory with Framed Corners and Tertiary Index Invariants
Hisham Sati
SIGMA 10 (2014), 024, 28 pages   [ abs   pdf ]
Dispersionless BKP Hierarchy and Quadrant Löwner Equation
Takashi Takebe
SIGMA 10 (2014), 023, 13 pages   [ abs   pdf ]
The Real K-Theory of Compact Lie Groups
Chi-Kwong Fok
SIGMA 10 (2014), 022, 26 pages   [ abs   pdf ]
Commutative Families of the Elliptic Macdonald Operator
Yosuke Saito
SIGMA 10 (2014), 021, 17 pages   [ abs   pdf ]
The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
Russell Johnson and Luca Zampogni
SIGMA 10 (2014), 020, 23 pages   [ abs   pdf ]
Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
Yuan Xu
SIGMA 10 (2014), 019, 19 pages   [ abs   pdf ]
Fukaya Categories as Categorical Morse Homology
David Nadler
SIGMA 10 (2014), 018, 47 pages   [ abs   pdf ]
Dynamics of an Inverting Tippe Top
Stefan Rauch-Wojciechowski and Nils Rutstam
SIGMA 10 (2014), 017, 18 pages   [ abs   pdf ]
Second Order Symmetries of the Conformal Laplacian
Jean-Philippe Michel, Fabian Radoux and Josef Šilhan
SIGMA 10 (2014), 016, 26 pages   [ abs   pdf ]
On the Smoothness of the Noncommutative Pillow and Quantum Teardrops
Tomasz Brzeziński
SIGMA 10 (2014), 015,  8 pages   [ abs   pdf ]
Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency
Vincent Caudrelier, Nicolas Crampé and Qi Cheng Zhang
SIGMA 10 (2014), 014, 24 pages   [ abs   pdf ]
Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
Indranil Biswas and Tomás L. Gómez
SIGMA 10 (2014), 013,  7 pages   [ abs   pdf ]
Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Alexei A. Deriglazov and Andrey M. Pupasov-Maksimov
SIGMA 10 (2014), 012, 13 pages   [ abs   pdf ]
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
Carles Batlle, Joaquim Gomis and Kiyoshi Kamimura
SIGMA 10 (2014), 011, 15 pages   [ abs   pdf ]
Exploring the Causal Structures of Almost Commutative Geometries
Nicolas Franco and Michał Eckstein
SIGMA 10 (2014), 010, 23 pages   [ abs   pdf ]
The Heisenberg Relation - Mathematical Formulations
Richard V. Kadison and Zhe Liu
SIGMA 10 (2014), 009, 40 pages   [ abs   pdf ]
Systems of Differential Operators and Generalized Verma Modules
Toshihisa Kubo
SIGMA 10 (2014), 008, 35 pages   [ abs   pdf ]
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
Johan van de Leur
SIGMA 10 (2014), 007, 19 pages   [ abs   pdf ]
The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
Anton Zabrodin
SIGMA 10 (2014), 006, 18 pages   [ abs   pdf ]
Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
Judit X. Madarász, Mike Stannett and Gergely Székely
SIGMA 10 (2014), 005, 21 pages   [ abs   pdf ]
Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López and Manuel Calaza
SIGMA 10 (2014), 004, 16 pages   [ abs   pdf ]
Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space
Sergey A. Paston and Anton A. Sheykin
SIGMA 10 (2014), 003, 10 pages   [ abs   pdf ]
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Christopher M. Ormerod
SIGMA 10 (2014), 002, 19 pages   [ abs   pdf ]
On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras
Said Aissaoui and Abdenacer Makhlouf
SIGMA 10 (2014), 001, 24 pages   [ abs   pdf ]

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