Noncommutative Structures in Mathematics and Physics - NATO Science Series II 2001 edition

Marc Notes: Published in cooperation with NATO Scientific Affairs Division.; Proceeding of the NATO Advanced Research Workshop on Noncommutative Structures in Mathematics and Physics, Kiev, Ukraine, September 24-28, 2000--T.p. verso.; Includes bibliographical references. Table of Contents: Preface. Gauge Theories Beyond Gauge Theory; J. Wess. Symmetries Wider Than Supersymmetry; D. Leites, V. Serganova. Tensions in Supergravity Braneworlds; K. Stelle. An Unconventional Supergravity; P. Grozman, D. Leites. Supersymmetry of RS Bulk and Brane; E. Bergshoeff, et al. D-Branes and Vacuum Periodicity; D. Galtsov, V. Dyadichev. Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory; P. Kosinski, et al. The Howe Duality and Lie Superalgebras; D. Leites, I. Shchepochkina. Enveloping Algebra of GL(3) and Orthogonal Polynomials; A. Sergeev. Noninvertibility, Semisupermanifolds and Categories Regularization; S. Duplij, W. Marcinek. An Overview of New Supersymmetric Gauge Theories With 2-Form Gauge Potentials; F. Brandt. Supersymmetric R4 Actions and Quantum Corrections to Superspace Torsion Constraints; K. Peeters, et al. Massive Superparticle With Spinorial Central Charges; S. Fedoruk, V. G. Zima. Rotating Super Black Hole as Spinning Particle; A. Burinskii. Classifying N-extended 1-dimensional Super Systems; F. Toppan. Para, Pseudo, and Orthosupersymmetric Quantum Mechanics and Their Bosonization; C. Quesne. Supersymmetric Odd Mechanical Systems and Hilbert Q-module Quantization; A. Frydryszak. Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces; S. Vacaru, et al. Finiteness in Conventional N = 1 GUTs; T. Kobayashi, et al. World Volume Realization of Automorphisms; J. Simon. Some Metrics on the Manin Plane; G. Fiore, et al. Coherence Isomorphisms for a Hopf Category; V. Lyubashenko. Fusion Rings and Tensor Categories; A. Ganchev. On Categories of Gelfand-Zelin Modules; V. Mazorchuk. Hidden Symmetry of SomeAlgebras Of q-differential Operators; D. Shklyarov, et al. A Family Of ★-Algebras Allowing Wick Ordering: Fock Representations and Universal Enveloping C★-Algebras; P. Jorgensen, et al. Nonstandard Quantization of the Enveloping Algebra U(so(n)) and its Applications; A. U. Klimyk. Can the Cabibbo mixing originate from noncommutative extra dimensions?; A. Gavrilik. Nonclassical Type Representations of Nonstandard Quantization of Enveloping Algebras U(so(n)), U(so(n,1)) and U(iso(n)); N. Iorgov. Quasiparticles in Non-commutative Field Theory; K. Landsteiner. Time Dependence and (Non) Commutativity of Symmetries of Evolution Equations; A. Sergyeyev. p-Adic Strings and Noncommuntativity; B. Dragovich, I. V. Volovich. Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects; G. Djordjević, et al. Gibbs States of a Lattice System of Quantum Anharmonic Oscillators; Y. Kozitsky. A Metric-Affine Field Model for the Neutrino; D. Vassiliev. Generalized Taub-NUT Metrics and Killing-Yano Tensors; M. Visinescu. An Effective Model of the Spacetime Foam; V. Dzhunushaliev. Possible Constraints on String Theory in Closed Space with Symmetries; A. Higuchi. Semiclassical Dynamics of SU (2) Models; A. Alscher, H. Grabert. List of Speakers and their E-Prints. Publisher Marketing: A presentation of achievements and ideas of Eastern and Western scientists, both mathematicians and physicists. The text includes presentations of work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSI GUT phenomenology.

Contributor Bio:  Duplij, StevenSteven Duplij (Stepan Douplii) is a theoretical physicist, poet and musician from Kharkov, Ukraine. He is a Lead Staff Researcher of the Theory Group, Nuclear Physics Laboratory at V. N. Karazin National University and a Doctor of Physical and Mathematical Sciences (the prestigious Habilitation doctorate). He works in Theoretical Physics, has several monographs and more than a hundred scientific publications. Editor-compiler of the ""Concise Encyclopedia of Supersymmetry"" (Springer), he has received grants from the "Humboldt" and "Fulbright" Foundations. His poems and short prose have appeared in international literary journals and several of his audio albums and singles were recorded at music studios in the United States and Germany. During extensive scientific travels abroad (in the USA, England, Germany, China, Spain and Poland) he provided poetry readings and composed songs for the guitar. This book is a collection of Steven Duplij's poems, many of them written originally in English, and others translated into "English, French, German, Italian, Norwegian, Polish, Portuguese, Serbian and Spanish." http: //www.math.rutgers.edu/ duplij http: //duplij.univer.kharkov.ua http: //www.stihi.ru/avtor/duplij