Bosonic Realizations of Uq(C(1)n)We construct explicitly the quantum symplectic affine algebra Uq(sp2n) using bosonic fields. The Fock space decomposes into irreducible modules of level -1/2, quantizing the…Naihuan Jing, Yoshitaka Koyama, Kailash C. Misra·Jan 28, 1997SaveLearn
Vertex operators for twisted quantum affine algebrasWe construct explicitly the q-vertex operators (intertwining operators) for the level one modules V(Λi) of the classical quantum affine algebras of twisted types using interacting bosons, where…Naihuan Jing, Kailash C. Misra·Jan 28, 1997SaveLearn
On quantum group GLp,q(2)In the Hopf algebra GLp,q(2) the determinant is central iff p=q. In this case we put determinant to be equal to 1 to get SLq(2). In this paper I consider the case when p/q is a root of unity;…Tanya Khovanova·Jan 28, 1997SaveLearn
Representation Theory of Generalized Deformed Oscillator AlgebrasThe representation theory of the generalized deformed oscillator algebras (GDOA's) is developed. GDOA's are generated by the four operators 1,a,a†,N. Their commutators and Hermiticity…C. Quesne, N. Vansteenkiste·Jan 28, 1997SaveLearn
Nonlinear deformed su(2) algebras involving two deforming functionsThe most common nonlinear deformations of the su(2) Lie algebra, introduced by Polychronakos and Ro cek, involve a single arbitrary function of J0 and include the quantum algebra suq(2) as a…D. Bonatsos, C. Daskaloyannis, P. Kolokotronis et al.·Jan 28, 1997SaveLearn
A nonlinear deformed su(2) algebra with a two-colour quasitriangular Hopf structureNonlinear deformations of the enveloping algebra of su(2), involving two arbitrary functions of J0 and generalizing the Witten algebra, were introduced some time ago by Delbecq and Quesne. In the…D. Bonatsos, C. Daskaloyannis, P. Kolokotronis et al.·Jan 28, 1997SaveLearn
Null-plane Quantum Poincaré Algebras and their Universal R-matricesA non-standard quantum deformation of the Poincaré algebra is presented in a null-plane framework for 1+1, 2+1 and 3+1 dimensions. Their corresponding universal R-matrices are obtained in a…A. Ballesteros, F. J. Herranz, M. A. del Olmo et al.·Jan 27, 1997SaveLearn
Harmonic Oscillator Lie Bialgebras and their QuantizationAll possible Lie bialgebra structures on the harmonic oscillator algebra are explicitly derived and it is shown that all of them are of the coboundary type. A non-standard quantum oscillator is…Angel Ballesteros, Francisco J. Herranz·Jan 27, 1997SaveLearn
Differential Calculus on q-Deformed Light-ConeWe propose the ``short'' version of q-deformed differential calculus on the light-cone using twistor representation. The commutation relations between coordinates and momenta are obtained.…V. P. Akulov, V. V. Chitov, Steven Duplij·Jan 27, 1997SaveLearn
q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary levelWe derive a free boson representation of the Yangian double DY(slN) with arbitrary level k using the observation that there is a correspondence between the q-affine algebra and Yangian…Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding·Jan 26, 1997SaveLearn
The (Q,q)-Schur algebraIn this paper we use the Hecke algebra of type B to define a new algebra which is an analogue of the q-Schur algebra. We construct Weyl modules for and obtain, as factor modules, a…Richard Dipper, Gordon James, Andrew Mathas·Jan 24, 1997SaveLearn
Simplified boson realization of the soq(3) subalgebra of uq(3) and matrix elements of soq(3) quadrupole operatorsA simplified boson realization of the soq(3) subalgebra of uq(3) is constructed. A simplified form of the corresponding soq(3) basis states is obtained. The reduced matrix elements of a…P. P. Raychev, R. P. Roussev, P. A. Terziev et al.·Jan 21, 1997SaveLearn
Irreducible decomposition for tensor prodect representations of Jordanian quantum algebrasTensor products of irreducible representations of the Jordanian quantum algebras Uh(sl(2)) and Uh(su(1,1)) are considered. For both the highest weight finite dimensional representations of…N. Aizawa·Jan 20, 1997SaveLearn
Combinatorics of solvable lattice models, and modular representations of Hecke algebrasWe review and motivate recently-observed relationships between exactly solvable lattice models and modular representations of Hecke algebras. Firstly, we describe how the set of n-regular…Omar Foda, Bernard Leclerc, Masato Okado et al.·Jan 18, 1997SaveLearn
RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unityA special family of partitions occurs in two apparently unrelated contexts: the evaluation of 1-dimensional configuration sums of certain RSOS models, and the modular representation theory of…Omar Foda, Bernard Leclerc, Masato Okado et al.·Jan 18, 1997SaveLearn
Skein HomologyFor each skein module we describe a homology theory which, for any three manifold recovers the skein module at its zero level. The theory measures skein-like relations among skein relations,…Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska·Jan 17, 1997SaveLearn
Quantization of the Algebra of Chord DiagramsIn this paper we define an algebra structure on the vector space L(Σ) generated by links in the manifold Σ× [0,1] where Σ is an oriented surface. This algebra has a filtration and the…Jørgen Ellegaard Andersen, Josef Mattes, Nicolai Reshetikhin·Jan 16, 1997SaveLearn
Quantizing Poisson ManifoldsThis paper extends Kontsevich's ideas on quantizing Poisson manifolds. A new differential is added to the Hodge decomposition of the Hochschild complex, so that it becomes a bicomplex, even more…Alexander A. Voronov·Jan 16, 1997SaveLearn
hbar-(Yangian) Deformation of Miura Map and Virasoro AlgebraAn hbar-deformed Virasoro Poisson algebra is obtained using the Wakimoto realization of the Sugawara operator for the Yangian double DY(sl2)c at the critical level c=-2.Xiang-Mao Ding, Bo-Yu Hoy, Liu Zhao·Jan 14, 1997SaveLearn
A new construction of the moonshine vertex operator algebra over the real number fieldWe give a new construction of the moonshine VOA V over the real number field. We proved that V has a positive definite invariant bilinear form and its full automorphism group is…Masahiko Miyamoto·Jan 13, 1997SaveLearn
The hidden symmetry algebras of a class of quasi-exactly solvable multi dimensional operatorsLet P(N,V) denote the vector space of polynomials of maximal degree less than or equal to N in V independent variables. This space is preserved by the enveloping algebra generated by a set of…Yves Brihaye, Jean Nuyts·Jan 13, 1997SaveLearn
Chromatic weight systems and the corresponding knot invariantsThis paper contains a proof that chromatic weight systems, introduced by Chmutov, Duzhin and Lando, can be expressed in terms of weight systems associated with direct sums of the Lie algebras gln…Jens Lieberum·Jan 13, 1997SaveLearn
Free coherent states and p-adic numbersFree coherent states for a system with two degrees of freedom is defined. Existence of the homeomorphism of the ring of integer 2-adic numbers to the set of coherent states corresponding to an…S. V. Kozyrev·Jan 11, 1997SaveLearn
Super Yangian Double DY( gl(1|1)) and Its Gauss DecompositionWe extend Yangian double to super (or graded) case and give its Drinfel'd generators realization by Gauss decomposition.J. F. Cai, G. X. Ju, K. Wu et al.·Jan 11, 1997SaveLearn
Quantum function algebras as quantum enveloping algebrasInspired by a result in [Ga], we locate two k[q,q-1] -integer forms of Fq[SL(n+1)] , along with a presentation by generators and relations, and prove that for q=1 they specialize to $…Fabio Gavarini·Jan 10, 1997SaveLearn