Representation Theory and Dynamical Systems

Part I. Quantum Groups, Representations of Groups and Algebras: On some problems in the theory of quantum groups by Ya. S. Soibelman and L. L. Vaksman Representations of quantum $*$-algebras $s1_t(N+1,\Bbb R)$ by E. Ye. Vaysleb Generalized Hall-Littlewood symmetric functions and orthogonal polynomials by S. V. Kerov Formulation of Bell type problems and ""noncommutative"" convex geometry by A. M. Vershik and B. S. Tsirelson Projective representations of the infinite symmetric group by M. L. Nazarov Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation by V. L. Ostrovskii and Yu. S. Samoilenko Relations between compact quantum groups and Kac algebras by L. I. Vainerman Combinatorial complexity of orbits in representations of the symmetric group by A. I. Barvinok Part II. Dynamical Systems and Approximations: Adic models of ergodic transformations, spectral theory, substitutions, and related topics by A. M. Vershik and A. N. Livshits Periodic metrics by D. Yu. Burago Flows with positive entropy by D. Yu. Burago On the spectral theory of adic transformations by B. Solomyak On simultaneous action of Markov shift and adic transformation by M. Solomyak About a certain weakly mixing substitution by A. N. Livshits Manifolds with intrinsic metric, and nonholonomic spaces by V. N. Berestovskii and A. M. Vershik.