On Discrete Frames Associated with Semidirect Products.
On ergodic properties of convolution operators associated with compact quantum groups
Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative -spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
On Nambu bracket representations of 3-algebras.
On parametrization of the linear and unitary groups in terms of Dirac matrices.
On quantum de Rham cohomology theory.
On quantum weyl algebras and generalized quons
The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.
On solutions of the KZ and qKZ equations at level zero
On solutions to the twisted Yang-Baxter equation
On spin and modularity in conformal field theory
On the contraction of the discrete series of
It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group can be obtained via contraction from the discrete series of representations of .
On the degenerate multiplicity of the loop algebra for the 6V transfer matrix at roots of unity.
On the geometry of complex Grassmann manifold, its noncompact dual and coherent states.
On the mass spectrum of Higgs particles
On the mini-superambitwistor space and super-Yang-Mills theory.
On the principle of stability of invariance of physical systems
On the problem of classifying simple compact quantum groups
We review the notion of simple compact quantum groups and examples, and discuss the problem of construction and classification of simple compact quantum groups.
On the set-theoretical Yang-Baxter equation.
On the supergroup and its superfield representations
On the uniqueness of the -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of infinitely many elements are proposed, one based on projective limits of enveloping von Neumann algebras related to finite quantum permutation groups, and the second on a universal property with respect to infinite magic unitaries.