On the spaces of polynomial knotsHomology groups of spaces of nonsingular polynomial embeddings R1 Rn of degrees 4 are calculated. A general algebraic technique of such calculations for spaces of polynomial…Victor Vassiliev·May 5, 1995SaveLearn
The Quantum Galilei GroupThe quantum Galilei group G is defined. The bicrossproduct structure of G and the corresponding Lie algebra is revealed. The projective representations for the…S. Giller, C. Gonera, P. Kosiński et al.·May 5, 1995SaveLearn
Recursion relations and branching rules for simple Lie algebrasThe branching rules between simple Lie algebras and its regular (maximal) simple subalgebras are studied. Two types of recursion relations for anomalous relative multiplicities are obtained. One of…V. D. Lyakhovsky·May 4, 1995SaveLearn
On quantized algebra of Wess-Zumino differential operators at roots of unityQuantum algebra of differential operators are studiedAlexander Verbovetsky·May 3, 1995SaveLearn
Relativistic and Newtonian kappa spacetimesThe deformations of the Galilei algebra and their associated noncommutative Newtonian spacetimes are investigated. This is done by analyzing the possible nonrelativistic limits of an eleven generator…J. A. de Azcarraga, J. C. Perez Bueno·May 2, 1995SaveLearn
A Novel Aprroach to Knot ClassificationIn a previous paper (q-alg/9501022) we suggested some algorithms that could be useful in solving the problem of knot classification. Here we continue this discussion by answering questions raised in…Charilaos Aneziris·May 2, 1995SaveLearn
Cohomology of Drinfel'd algebras: A General Nonsense ApproachIn our paper [Markl, Shnider: Drinfel'd Algebra Deformations and the Associahedra, IMRN 1994, no. 4, 169-176] we announced a construction of a cohomology controlling deformations of…Martin Markl, Steve Shnider·May 2, 1995SaveLearn
Gauss Decomposition for Quantum Groups and SupergroupsThe Gauss decompositions of the quantum groups, related to classical Lie groups and supergroups are considered by the elementary algebraic and R-matrix methods. The commutation relations between…E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov·May 1, 1995SaveLearn
On the parametrization of solutions of the Yang--Baxter equationsWe study all five-, six-, and one eight-vertex type two-state solutions of the Yang-Baxter equations in the form A12 B13 C23 = C23 B13 A12, and analyze the interplay of the…J. Hietarinta, C. Viallet·Apr 28, 1995SaveLearn
Bethe Ansatz for higher spin eight vertex modelsA generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz.…Takashi Takebe·Apr 28, 1995SaveLearn
The theory of physical superselection sectors in terms of vertex operator algebra languageWe formulate an interpretation of the theory of physical superselection sectors in terms of vertex operator algebra language. Using this formulation we give a construction of simple current from a…Haisheng Li·Apr 28, 1995SaveLearn
Linear representations of groups with translation invariant defining relationships. Some new series of braid group representations and new invariants of links and knotsIn this paper we indicate one method of construction of linear representations of groups and algebras with translation invariant (except, maybe , finite number) defining relationships. As an…Vladimir K. Medvedev·Apr 27, 1995SaveLearn
Combinatorial constructions of modules for infinite-dimensional Lie algebras, II. Parafermionic spaceThe standard modules for an affine Lie algebra have natural subquotients called parafermionic spaces -- the underlying spaces for the so-called parafermionic conformal field theories associated…Galin Georgiev·Apr 26, 1995SaveLearn
Quantum planes and quantum cylinders from Poisson homogeneous spacesQuantum planes and a new quantum cylinder are obtained as quantization of Poisson homogeneous spaces of two different Poisson structures on classical Euclidean group E(2).N. Ciccoli·Apr 25, 1995SaveLearn
Local systems of twisted vertex operators, vertex operator superalgebras and twisted modulesWe introduce the notion of ``local system of ZT-twisted vertex operators'' on a Z2-graded vector space M, generalizing the notion of local system of vertex operators…Haisheng Li·Apr 25, 1995SaveLearn
Finite-dimensional Calogero representation of the q-differential operatorA finite-dimensional matrix representation of the Jackson q-differential operator Dq, defined by Dqf(x) = (f(qx)-f(x))/(x(q-1)), is written down following Calogero. Such a representation…R. Chakrabarti, R. Jagannathan·Apr 24, 1995SaveLearn
A Link Invariant from Quantum DilogarithmThe link invariant, arising from the cyclic quantum dilogarithm via the particular R-matrix construction, is proved to coincide with the invariant of triangulated links in S3 introduced in R.M.…R. M. Kashaev·Apr 24, 1995SaveLearn
Introduction to vertex operator algebras IIIThis is the third part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex…Yi-Zhi Huang·Apr 24, 1995SaveLearn
Introduction to vertex operator algebras IIThis is the second part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex…Haisheng Li·Apr 24, 1995SaveLearn
Introduction to vertex operator algebras IThis is the first part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex…Chongying Dong·Apr 24, 1995SaveLearn
Witten's Invariants of Rational Homology Spheres at Prime Values of K and Trivial Connection ContributionWe establish a relation between the coefficients of asymptotic expansion of trivial connection contribution to Witten's invariant of rational homology spheres and the invariants that T.~Ohtsuki…L. Rozansky·Apr 22, 1995SaveLearn
Path Integrals with Generalized Grassmann VariablesWe construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using Bargmann-Fock representations with commuting and non-commuting…M. Chaichian, A. P. Demichev·Apr 22, 1995SaveLearn
Some twisted sectors for the Moonshine ModuleFor the moonshine module V, whose automorphism is the Monster M, We show how to give a uniform existence proof for irreducible g-twisted modules for elements of type 2A,…Chongying Dong, Haisheng Li, Geoffrey Mason·Apr 21, 1995SaveLearn
Semi-Infinite Wedges and Vertex OperatorsThe level 1 highest weight modules of the quantum affine algebra Uq(sln) can be described as spaces of certain semi-infinite wedges. Using a q-antisymmetrization procedure,…Eugene Stern·Apr 21, 1995SaveLearn
On the diagonalization of difference Calogero-Sutherland systemsWe discuss the simultaneous diagonalization of a family of commuting difference operators by Koornwinder's multivariable generalization of the Askey-Wilson polynomials. The operators constitute a…Jan F. van Diejen·Apr 21, 1995SaveLearn