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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • The Real K-Theory of Compact Lie Groups 
    Chi-Kwong Fok (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σG and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of ...
  • The Soccer-Ball Problem 
    Hossenfelder, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The idea that Lorentz-symmetry in momentum space could be modified but still remain observer-independent has received quite some attention in the recent years. This modified Lorentz-symmetry, which has been argued to arise ...
  • The Structure of Line Bundles over Quantum Teardrops 
    Albert Jeu-Liang Sheu (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are ...
  • The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data 
    Johnson, R.; Zampogni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Sturm-Liouville hierarchy of evolution equations was introduced in [Adv. Nonlinear Stud. 11 (2011), 555-591] and includes the Korteweg-de Vries and the Camassa-Holm hierarchies. We discuss some solutions of this hierarchy ...
  • The Variety of Integrable Killing Tensors on the 3-Sphere 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely solve the Nijenhuis integrability conditions ...
  • Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables 
    Xu, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Finite tight frames for polynomial subspaces are constructed using monic Hahn polynomials and Krawtchouk polynomials of several variables. Based on these polynomial frames, two methods for constructing tight frames for the ...
  • Tilting Modules in Truncated Categories 
    Bennett, M.; Bianchi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We begin the study of a tilting theory in certain truncated categories of modules G(Γ) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Γ=P+×J, J is an interval in Z, and P+ ...
  • Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions 
    Schroers, B.J.; Wilhelm, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider the deformation of the Poincaré group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing ...
  • Twisted (2+1) κ-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes 
    Ballesteros, A.; Herranz, F.J.; Meusburger, C.; Naranjo, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of the (2+1)-dimensional anti-de Sitter ...
  • Twistors and Bi-Hermitian Surfaces of Non-Kähler Type 
    Fujiki, A.; Pontecorvo, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti number.
  • Twistor Theory of the Airy Equation 
    Cole, M.; Dunajski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We demonstrate how the complex integral formula for the Airy functions arises from Penrose's twistor contour integral formula. We then use the Lax formulation of the isomonodromy problem with one irregular singularity of ...
  • Twistor Topology of the Fermat Cubic 
    Armstrong, J.; Salamon, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We describe topologically the discriminant locus of a smooth cubic surface in the complex projective space CP³ that contains 5 fibres of the projection CP³⟶S⁴.
  • Two-Point Functions on Deformed Spacetime 
    Trampetić, J.; You, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present a review of the one-loop photon (Π) and neutrino (Σ) two-point functions in a covariant and deformed U(1) gauge-theory on the 4-dimensional noncommutative spaces, determined by a constant antisymmetric tensor ...
  • Vector Polynomials and a Matrix Weight Associated to Dihedral Groups 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators. The one-parameter case is considered (omitting the ...
  • Werner's Measure on Self-Avoiding Loops and Welding 
    Chavez, A.; Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Werner's conformally invariant family of measures on self-avoiding loops on Riemann surfaces is determined by a single measure μ0 on self-avoiding loops in C∖{0} which surround 0. Our first major objective is to show that ...
  • Who's Afraid of the Hill Boundary? 
    Montgomery, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Jacobi-Maupertuis metric allows one to reformulate Newton's equations as geodesic equations for a Riemannian metric which degenerates at the Hill boundary. We prove that a JM geodesic which comes sufficiently close to ...
  • Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? 
    Madarász, J.X.; Stannett, M.; Székely, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami ''switching principle'' that Einstein's relativistic dynamics is logically ...
  • Wong's Equations and Charged Relativistic Particles in Non-Commutative Space 
    Balasin, H.; Blaschke, D.N.; Gieres, F.; Schweda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to ...
  • κ-Deformations and extended κ-Minkowski spacetimes 
    Borowiec, A.; Pachoł, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We extend our previous study of Hopf-algebraic κ-deformations of all inhomogeneous orthogonal Lie algebras iso(g) as written in a tensorial and unified form. Such deformations are determined by a vector τ which for Lorentzian ...
  • κ-Deformed Phase Space, Hopf Algebroid and Twisting 
    Jurić, T.; Kovačević, D.; Meljanac, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. ...

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