Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • 1+1 Gaudin Model 
    Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N) case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic curve. In sl(2) case ...
  • A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction 
    An, H.; Rogers, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when γ=2 to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov ...
  • A Banach Principle for Semifinite von Neumann Algebras 
    Chilin, V.; Litvinov, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Utilizing the notion of uniform equicontinuity for sequences of functions with the values in the space of measurable operators, we present a non-commutative version of the Banach Principle for L∞.
  • A Bochner Theorem for Dunkl Polynomials 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions. Under natural conditions it is seen that the only families of ...
  • About Twistor Spinors with Zero in Lorentzian Geometry 
    Leitner, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe the local conformal geometry of a Lorentzian spin manifold (M,g) admitting a twistor spinor φ with zero. Moreover, we describe the shape of the zero set of φ. If φ has isolated zeros then the metric g is locally ...
  • A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation 
    Ujino, H.; Yajima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretization method. Inverse ultradiscretization as ...
  • A Canonical Trace Associated with Certain Spectral Triples 
    Paycha, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on ...
  • A Centerless Virasoro Algebra of Master Symmetries for the Ablowitz-Ladik Hierarchy 
    Haine, L.; Vanderstichelen, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show that the (semi-infinite) Ablowitz-Ladik (AL) hierarchy admits a centerless Virasoro algebra of master symmetries in the sense of Fuchssteiner [Progr. Theoret. Phys. 70 (1983), 1508-1522]. An explicit expression for ...
  • A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian 
    Rösler, M.; Voit, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider compact Grassmann manifolds G/K over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type BC. From an explicit integral representation of these polynomials ...
  • 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 Classical Limit of Noumi's q-Integral Operator 
    Borodin, A.; Corwin, I.; Remenik, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We demonstrate how a known Whittaker function integral identity arises from the t=0 and q→1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.
  • A Class of Special Solutions for the Ultradiscrete Painlevé II Equation 
    Isojima, Sh.; Satsuma, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q-Painlevé II (q-PII) equation. The solutions are classified into four groups depending on the function-type and the system ...
  • A Cohomological Proof that Real Representations of Semisimple Lie Algebras Have Q-Forms 
    Morris, D.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A Lie algebra gQ over Q is said to be R-universal if every homomorphism from gQ to gl(n,R) is conjugate to a homomorphism into gl(n,Q) (for every n). By using Galois cohomology, we provide a short proof of the known fact ...
  • A Combinatorial Formula for Certain Elements of Upper Cluster Algebras 
    Lee, K.; Li, L.; Mills, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We develop an elementary formula for certain non-trivial elements of upper cluster algebras. These elements have positive coefficients. We show that when the cluster algebra is acyclic these elements form a basis. Using ...
  • A Combinatorial Study on Quiver Varieties 
    Fujii, S.; Minabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is an expository paper which has two parts. In the first part, we study quiver varieties of affine A-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the ...
  • A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions 
    Kuniba, A.; Okado, M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For a finite-dimensional simple Lie algebra g, let U⁺q(g) be the positive part of the quantized universal enveloping algebra, and Aq(g) be the quantized algebra of functions. We show that the transition matrix of the PBW ...
  • 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 Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms 
    Hay, M.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all 2×2 Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear ...
  • A Complete Set of Invariants for LU-Equivalence of Density Operators 
    Turner, J.; Morton, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We show that two density operators of mixed quantum states are in the same local unitary orbit if and only if they agree on polynomial invariants in a certain Noetherian ring for which degree bounds are known in the ...
  • A Connection Formula for the q-Confluent Hypergeometric Function 
    Morita, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис