Lie groups and Lie algebras

Front Matter....Pages i-vii
Front Matter....Pages 1-1
Dual Quasitriangular Structures Related to the Temperley-Lieb Algebra....Pages 1-16
On The Quantization of Quadratic Poisson Brackets on a Polynomial Algebra of Four Variables....Pages 17-25
Two Types of Poisson Pencils and Related Quantum Objects....Pages 27-46
Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization....Pages 47-69
On Quantum Methods in the Classical Theory of Representations....Pages 71-84
Front Matter....Pages 85-85
Multivalued Groups, n -Hopf Algebras and n -Ring Homomorphisms....Pages 85-107
Hypergroups and Differential Equations....Pages 109-115
Haar Measure on Locally Compact Hypergroups....Pages 117-131
Laguerre Hypergroup and Limit Theorem....Pages 133-145
The Representation of The Reproducing Kernel in Orthogonal Polynomials on Several Intervals....Pages 147-162
Front Matter....Pages 163-163
Homology Invariants of Homogeneous Complex Manifolds....Pages 163-179
Micromodules....Pages 181-198
A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifold....Pages 199-215
On a Duality of Varieties of Representations of Ternary Lie and Super Lie Systems....Pages 217-230
Various Aspects and Generalizations of the Godbillon-Vey Invariant....Pages 231-247
Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems....Pages 249-259
Front Matter....Pages 261-261
Asymptotic Behavior of the Poisson Transform on a Hyperboloid of One Sheet....Pages 261-284
Maximal Degenerate Representations, Berezin Kernels and Canonical Representations....Pages 285-298
Asymptotic Representation of Discrete Groups....Pages 299-312
Maximal Degenerate Series Representations of the Universal Covering of the Group SU( n , n )....Pages 313-336
Front Matter....Pages 261-261
Almost Representations and Quasi-Symmetry....Pages 337-358
Front Matter....Pages 359-359
Orbital Isomorphism Between Two Classical Integrable Systems....Pages 359-382
Noncommutative Deformation of The Kadomtsev-Petviashvili Hierarchy and The Universal Grassmann Manifold....Pages 383-391
Symmetries Of Completely Integrable Distributions....Pages 393-405
Algebras With Flat Connections and Symmetries of Differential Equations....Pages 407-424
On The Geometry of Current Groups and a Model of The Landau-Lifschitz Equation....Pages 425-433
Change of Variable Formulas for Gaussian Integrals over Spaces of Paths in Compact Riemannian Manifolds....Pages 435-442