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Symmetry, integrability and geometry: methods and applications
Volume 10 (2014)
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On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras
Said Aissaoui; Abdenacer Makhlouf

Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Christopher M. Ormerod

Global Embedding of the Reissner–Nordström Metric in the Flat Ambient Space
Sergey A. Paston; Anton A. Sheykin

Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
Jesús A. Álvarez López; Manuel Calaza

Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
Judit X. Madarász; Mike Stannett; Gergely Székely

The Master $T$-Operator for Inhomogeneous $XXX$ Spin Chain and mKP Hierarchy
Anton Zabrodin

The $(n,1)$-Reduced DKP Hierarchy, the String Equation and $W$ Constraints
Johan van de Leur

Systems of Differential Operators and Generalized Verma Modules
Toshihisa Kubo

The Heisenberg Relation — Mathematical Formulations
Richard V. Kadison; Zhe Liu

Exploring the Causal Structures of Almost Commutative Geometries
Nicolas Franco; Michał Eckstein

Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
Carles Batlle; Joaquim Gomis; Kiyoshi Kamimura

Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Alexei A. Deriglazov; Andrey M. Pupasov-Maksimov

Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
Indranil Biswas; Tomás L. Gómez

Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency
Vincent Caudrelier; Nicolas Crampé; Qi Cheng Zhang

On the Smoothness of the Noncommutative Pillow and Quantum Teardrops
Tomasz Brzeziński

Second Order Symmetries of the Conformal Laplacian
Jean-Philippe Michel; Fabian Radoux; Josef Šilhan

Dynamics of an Inverting Tippe Top
Stefan Rauch-Wojciechowski; Nils Rutstam

Fukaya Categories as Categorical Morse Homology
David Nadler

Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
Yuan Xu

The Sturm–Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
Russell Johnson; Luca Zampogni

Commutative Families of the Elliptic Macdonald Operator
Yosuke Saito

The Real $K$-Theory of Compact Lie Groups
Chi-Kwong Fok

Dispersionless BKP Hierarchy and Quadrant Löwner Equation
Takashi Takebe

M-Theory with Framed Corners and Tertiary Index Invariants
Hisham Sati

A Characterization of Invariant Connections
Maximilian Hanusch

Symmetry Groups of $A_n$ Hypergeometric Series
Yasushi Kajihara

The Structure of Line Bundles over Quantum Teardrops
Albert Jeu-Liang Sheu

Rigged Configurations and Kashiwara Operators
Reiho Sakamoto

On Projections in the Noncommutative 2-Torus Algebra
Michał Eckstein

Tilting Modules in Truncated Categories
Matthew Bennett; Angelo Bianchi

Nontrivial Deformation of a Trivial Bundle
Piotr M. Hajac; Bartosz Zieliński

Modules with Demazure Flags and Character Formulae
Vyjayanthi Chari; Lisa Schneider; Peri Shereen; Jeffrey Wand

Hyperkähler Manifolds of Curves in Twistor Spaces
Roger Bielawski

Integrable Background Geometries
D. M. J. Calderbank

Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski–West Construction
D. M. J. Calderbank

A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Slawomir Klimek; Matt McBride

Twistor Theory of the Airy Equation
Michael Cole; Maciej Dunajski

A “Continuous” Limit of the Complementary Bannai–Ito Polynomials: Chihara Polynomials
Vincent X. Genest; Luc Vinet; Alexei Zhedanov

Fusion Procedure for Cyclotomic Hecke Algebras
Oleg V. Ogievetsky; Loïc Poulain d'Andecy

Mystic Reflection Groups
Yuri Bazlov; Arkady Berenshtein

A Notable Relation between $N$-Qubit and $2^{N-1}$-Qubit Pauli Groups via Binary $\mathrm{LGr}(N,2N)$
Frédéric Holweck; Metod Saniga; Péter Lévay

Twistors and Bi-Hermitian Surfaces of Non-Kähler Type
Akira Fujiki; Massimiliano Pontecorvo

Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Maxime Dugave; Frank Göhmann; Karol Kajetan Kozlowski

Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
Charles F. Dunkl

Bäcklund–Darboux Transformations and Discretizations of Super KdV Equation
Ling-Ling Xue; Qing Ping Liu

Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$
Nobuhiro Honda

Graded Limits of Minimal Affinizations in Type $D$
Katsuyuki Naoi

Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Atsushi Fujioka; Takashi Kurose

The Classification of All Crossed Products $H_4 \# k[C_{n}]$
Ana-Loredana Agore; Costel-Gabriel Bontea; Gigel Militaru

Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$
Marius van der Put; Jaap Top

Gravity in Twistor Space and its Grassmannian Formulation
Freddy Cachazo; Lionel Mason; David Skinner

Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
Ángel Ballesteros; Francisco J. Herranz; Catherine Meusburger; Pedro Naranjo

Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
Bernd J. Schroers; Matthias Wilhelm

Two-Point Functions on Deformed Spacetime
Josip Trampetić; Jiangyang You

Ordered $*$-Semigroups and a $C^*$-Correspondence for a Partial Isometry
Berndt Brenken

Integrable Systems Related to Deformed $\mathfrak{so}(5)$
Alina Dobrogowska; Anatol Odzijewicz

Induced Representations and Hypergroupoids
Jean Renault

Schur Positivity and Kirillov–Reshetikhin Modules
Ghislain Fourier; David Hernandez

Configurations of an Articulated Arm and Singularities of Special Multi-Flags
Fernand Pelletier; Mayada Slayman

Local Proof of Algebraic Characterization of Free Actions
Paul F. Baum; Piotr M. Hajac

Twistor Topology of the Fermat Cubic
John Armstrong; Simon Salamon

Deformations of the Canonical Commutation Relations and Metric Structures
Francesco D'Andrea; Fedele Lizzi; Pierre Martinetti

Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
Marija Dimitrijević; Larisa Jonke; Anna Pachoł

Non-Commutative Resistance Networks
Marc A. Rieffel

Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras
Ana-Loredana Agore; Gigel Militaru

Non-Point Invertible Transformations and Integrability of Partial Difference Equations
Sergey Ya. Startsev

Asymptotic Analysis of the Ponzano–Regge Model with Non-Commutative Metric Boundary Data
Daniele Oriti; Matti Raasakka

Groupoid Actions on Fractafolds
Marius Ionescu; Alex Kumjian

Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System $\mathrm{G(1112)}$
Kazuo Kaneko

On the Conjectures Regarding the 4-Point Atiyah Determinant
Mazen N. Bou Khuzam; Michael J. Johnson

Spherical Functions of Fundamental $K$-Types Associated with the $n$-Dimensional Sphere
Juan Alfredo Tirao; Ignacio Nahuel Zurrián

The GraviGUT Algebra Is not a Subalgebra of $E_8$, but $E_8$ Does Contain an Extended GraviGUT Algebra
Andrew Douglas; Joe Repka

Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
Yuri I. Manin; Matilde Marcolli

The Soccer-Ball Problem
Sabina Hossenfelder

Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
Yan-Gang Miao; Hui Wang

Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles
Debashish Goswami; Soumalya Joardar

Quantitative $K$-Theory Related to Spin Chern Numbers
Terry A. Loring

Some Noncommutative Matrix Algebras Arising in the Bispectral Problem
F. Alberto Grünbaum

Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to $2+1$ Gravity
Michele Arzano; Danilo Latini; Matteo Lotito

The Variety of Integrable Killing Tensors on the 3-Sphere
Konrad Schöbel

Werner's Measure on Self-Avoiding Loops and Welding
Angel Chavez; Doug Pickrell

Locally Compact Quantum Groups. A von Neumann Algebra Approach
Alfons Van Daele

Generalised Chern–Simons Theory and $\mathrm{G}_2$-Instantons over Associative Fibrations
Henrique N. Sá Earp

A Compact Formula for Rotations as Spin Matrix Polynomials
Thomas L. Curtright; David B. Fairlie; Cosmas K. Zachos

The Ongoing Impact of Modular Localization on Particle Theory
Bert Schroer

Matrix Bases for Star Products: a Review
Fedele Lizzi; Patrizia Vitale

Exact Free Energies of Statistical Systems on Random Networks
Naoki Sasakura; Yuki Sato

Piecewise Principal Coactions of Co-Commutative Hopf Algebras
Bartosz Zieliński

Maximal Green Sequences of Exceptional Finite Mutation Type Quivers
Ahmet I. Seven

Hypergeometric Solutions of the $A_4^{(1)}$-Surface $q$-Painlevé IV Equation
Nobutaka Nakazono

A Reciprocal Transformation for the Constant Astigmatism Equation
Adam Hlaváč; Michal Marvan

Beables/Observables in Classical and Quantum Gravity
Edward Anderson

Generalized Coefficients for Hopf Cyclic Cohomology
Mohammad Hassanzadeh; Dan Kucerovsky; Bahram Rangipour

$\mathcal{A}=\mathcal{U}$ for Locally Acyclic Cluster Algebras
Greg Muller

Algebraic Geometry of Matrix Product States
Andrew Critch; Jason Morton

Invariant Poisson Realizations and the Averaging of Dirac Structures
José A. Vallejo; Yurii Vorobiev

Quantum Dimension and Quantum Projective Spaces
Marco Matassa

Center of Twisted Graded Hecke Algebras for Homocyclic Groups
Wee Liang Gan; Matthew Highfield

Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Herbert Balasin; Daniel N. Blaschke; François Gieres; Manfred Schweda

Selective Categories and Linear Canonical Relations
David Li-Bland; Alan Weinstein

Who's Afraid of the Hill Boundary?
Richard Montgomery

Particle Motion in Monopoles and Geodesics on Cones
Maxence Mayrand

On Certain Wronskians of Multiple Orthogonal Polynomials
Lun Zhang; Galina Filipuk

Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
Sudipta Das; Souvik Pramanik; Subir Ghosh

Everywhere Equivalent 3-Braids
Alexander Stoimenow

$\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
Tajron Jurić; Domagoj Kovačević; Stjepan Meljanac

$\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
Andrzej Borowiec; Anna Pachoł

The Generic Superintegrable System on the $3$-Sphere and the ${9j}$ Symbols of ${\mathfrak{su}(1,1)}$
Vincent X. Genest; Luc Vinet

Prequantization of the Moduli Space of Flat $\mathrm{PU}(p)$-Bundles with Prescribed Boundary Holonomies
Derek Krepski

Demazure Modules, Chari–Venkatesh Modules and Fusion Products
Bhimarthi Ravinder

Mach-Type Soliton in the Novikov–Veselov Equation
Jen-Hsu Chang

Configurations of Points and the Symplectic Berry–Robbins Problem
Joseph Malkoun

Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One
Maarten Van Pruijssen; Pablo Román

Periodic Vortex Streets and Complex Monodromy
Adrian D. Hemery; Alexander P. Veselov

The Freiheitssatz for Generic Poisson Algebras
Pavel S. Kolesnikov; Leonid G. Makar-Limanov; Ivan P. Shestakov

Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Confluent Cherednik Algebras
Marta Mazzocco
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