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

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

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  • A Characterization of Invariant Connections 
    Hanusch, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Given a principal fibre bundle with structure group S, and a fibre transitive Lie group G of automorphisms thereon, Wang's theorem identifies the invariant connections with certain linear maps ψ:g→s. In the present paper, ...
  • A Compact Formula for Rotations as Spin Matrix Polynomials 
    Curtright, T.L.; Fairlie, D.B.; Zachos, C.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between ...
  • A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A novel family of −1 orthogonal polynomials called the Chihara polynomials is characterized. The polynomials are obtained from a ''continuous'' limit of the complementary Bannai-Ito polynomials, which are the kernel partners ...
  • Algebraic Geometry of Matrix Product States 
    Critch, A.; Morton, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We quantify the representational power of matrix product states (MPS) for entangled qubit systems by giving polynomial expressions in a pure quantum state's amplitudes which hold if and only if the state is a translation ...
  • A Notable Relation between n-Qubit and 2ⁿ⁻¹-Qubit Pauli Groups via Binary LGr(n,2n) 
    Holweck, F.; Saniga, M.; Lévay, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Employing the fact that the geometry of the n-qubit (n≥2) Pauli group is embodied in the structure of the symplectic polar space W(2n−1,2) and using properties of the Lagrangian Grassmannian LGr(n,2n) defined over the ...
  • A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate ...
  • A Reciprocal Transformation for the Constant Astigmatism Equation 
    Hlaváč, A.; Marvan, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation zyy+(1/z)xx+2=0. The transformation is related to the special case of the famous Bäcklund transformation of the ...
  • Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data 
    Oriti, D.; Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We apply the non-commutative Fourier transform for Lie groups to formulate the non-commutative metric representation of the Ponzano-Regge spin foam model for 3d quantum gravity. The non-commutative representation allows ...
  • A=U for Locally Acyclic Cluster Algebras 
    Muller, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
  • Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation 
    Xue, L.L.; Liu, Q.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and ...
  • Beables/Observables in Classical and Quantum Gravity 
    Anderson, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Observables 'are observed' whereas beables just 'are'. This gives beables more scope in the cosmological and quantum domains. Both observables and beables are entities that form 'brackets' with 'the constraints' that are ...
  • Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras 
    Agore, A.L.; Militaru, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a perfect Lie algebra h we classify all Lie algebras containing h as a subalgebra of codimension 1. The automorphism groups of such Lie algebras are fully determined as subgroups of the semidirect product h⋉(k∗×AutLie(h)). ...
  • Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology 
    Manin, Y.I.; Marcolli, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We introduce some algebraic geometric models in cosmology related to the ''boundaries'' of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to model the kinematics of Big Bang using ...
  • Center of Twisted Graded Hecke Algebras for Homocyclic Groups 
    Gan, W.L.; Highfield, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, ...
  • Commutative Families of the Elliptic Macdonald Operator 
    Saito, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In the paper [J. Math. Phys. 50 (2009), 095215, 42 pages], Feigin, Hashizume, Hoshino, Shiraishi, and Yanagida constructed two families of commuting operators which contain the Macdonald operator (commutative families of ...
  • Configurations of an Articulated Arm and Singularities of Special Multi-Flags 
    Pelletier, F.; Slayman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    P. Mormul has classified the singularities of special multi-flags in terms of “EKR class'' encoded by sequences j1,…,jk of integers (see [Singularity Theory Seminar, Warsaw University of Technology, Vol. 8, 2003, 87-100] ...
  • Configurations of points and the symplectic Berry-Robbins problem 
    Malkoun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present a new problem on configurations of points, which is a new version of a similar problem by Atiyah and Sutcliffe, except it is related to the Lie group Sp(n), instead of the Lie group U(n). Denote by h a Cartan ...
  • Deformations of the Canonical Commutation Relations and Metric Structures 
    D'Andrea, F.; Lizzi, F.; Martinetti, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics. In this note, we study modifications of the distance ...
  • Demazure Modules, Chari–Venkatesh Modules and Fusion Products 
    Ravinder, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the ...
  • Dispersionless BKP Hierarchy and Quadrant Löwner Equation 
    Takebe, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that N-variable reduction of the dispersionless BKP hierarchy is described by a Löwner type equation for the quadrant.

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