Description: I: Quantum Mathematics.- Dual Quasitriangular Structures Related to the Temperley-Lieb Algebra.- On the Quantization of Quadratic Poisson Brackets on a Polynomial Algebra of Four Variables.- Two Types of Poisson Pencils and Related Quantum Objects.- Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization.- On Quantum Methods in the Classical Theory of Representations.- II: Hypergroups.- Multivalued Groups, n-Hopf Algebras and n-ring Homomorphisms.- Hypergroups and Differential Equations.- The Haar Measure On Locally Compact Hypergroups.- Laguerre Hypergroup and Limit Theorem.- The Representation of the Reproducing Kernel in Orthogonal Polynomials on Several Intervals.- III: Homogenious Spaces And Lie Algebras and Superalgebras.- Homology Invariants of Homogeneous Complex Manifolds.- Micromodules.- A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifold.- On a Duality of Varieties of Representations of Ternary Lie and Super Lie Systems.- Various Aspectsand Generalizations of the Godbillon-Vey Invariant.- Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems.- IV: Representations.- Asymptotic Behavior of the Poisson Transform on a hyperboloid of one sheet.- Maximal Degenerate Representations, Berezin Kernels and Canonical Representations.- Asymptotic Representation of Discrete Groups.- Maximal Degenerate Series Representations of the Universal Covering of the Group SU(n, n).- Almost Representations and Quasi-Symmetry.- V: Differential Equations.- Orbital Isomorphism between Two Classical Integrable Systems.- Noncommutative Deformation of the KP Hierarchy and the Universal Grassmann Manifold.- Symmetries of Completely Integrable Distributions.- Algebras with Flat Connections and Symmetries of Differential Equations.- On the Geometry of Current Groups and a Model of the Landau-Lifschitz Equation.- Change Variable Formulas for Gaussian Integrals over Spaces of Paths in Compact Riemannian Manifolds.

Please Wait