Noncommutative Structures in Mathematics and Physics

By: Steven Duplij, S. Duplij (Editor), Julius Wess (Editor)

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Hardcover | 31 May 2001

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Hardcover
500 Pages

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25.4 x 17.78 x 3.81

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A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent 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, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.

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Non-Fiction Science Physics Mathematical Physics Medicine Medicine in General Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematics Geometry Differential & Riemannian Geometry Groups & Group Theory Nuclear Physics

Applied Mathematics Algebra

Preface
Gauge Theories Beyond Gauge Theory	p. 1
Symmetries Wider Than Supersymmetry	p. 13
Tensions in Supergravity Braneworlds	p. 31
An Unconventional Supergravity	p. 41
Supersymmetry Of RS Bulk And Brane	p. 49
D-branes And Vacuum Periodicity	p. 61
Quantum Deformation Of Space-Time SUSY And Noncommutative Superfield Theory	p. 79
The Howe Duality And Lie Superalgebras	p. 93
Enveloping Algebra Of GL(3) And Orthogonal Polynomials	p. 113
Noninvertibility, Semisupermanifolds And Categories Regularization	p. 125
An Overview Of New Supersymmetric Gauge Theories With 2-Form Gauge Potentials	p. 141
Supersymmetric R[superscript 4] Actions And Quantum Corrections To Superspace Torsion Constraints	p. 153
Massive Superparticle With Spinorial Central Charges	p. 161
Rotating Super Black Hole as Spinning Particle	p. 181
Classifying N-extended 1-dimensional Super Systems	p. 195
Para, Pseudo, And Orthosupersymmetric Quantum Mechanics And Their Bosonization	p. 203
Supersymmetric Odd Mechanical Systems And Hilbert Q-module Quantization	p. 215
Locally Anisotropic Supergravity And Gauge Gravity On Noncommutative Spaces	p. 229
Finiteness In Conventional N = 1 GUTs	p. 245
World Volume Realization Of Automorphisms	p. 259
Some Metrics On The Manin Plane	p. 271
Coherence Isomorphisms For A Hopf Category	p. 283
Fusion Rings And Tensor Categories	p. 295
On Categories Of Gelfand-Zetlin Modules	p. 299
Hidden Symmetry Of Some Algebras Of q-differential Operators	p. 309
A Family of -Algebras Allowing Wick Ordering: Fock Representations And Universal Enveloping C[superscript ]-Algebras	p. 321
Nonstandard Quantization Of The Enveloping Algebra U(so(n)) And Its Applications	p. 331
Can the Cabibbo mixing originate from noncommutative extra dimensions?	p. 343
Nonclassical Type Representations Of Nonstandard Quantization Of Enveloping Algebras U(so(n)), U(so(n,1)) and U(iso(n))	p. 357
Quasiparticles In Non-commutative Field Theory	p. 369
Time Dependence And (Non)Commutativity Of Symmetries Of Evolution Equations	p. 379
p-Adic Strings And Noncommutativity	p. 391
Adelic Quantum Mechanics: Nonarchimedean And Noncommutative Aspects	p. 401
Gibbs States Of A Lattice System Of Quantum Anharmonic Oscillators	p. 415
A Metric-Affine Field Model For The Neutrino	p. 427
Generalized Taub-NUT Metrics And Killing-Yano Tensors	p. 441
An Effective Model Of The Spacetime Foam	p. 453
Possible Constraints On String Theory In Closed Space With Symmetries	p. 465
Semiclassical Dynamics Of SU(2) Models	p. 475
List of speakers and their E-prints	p. 481
Table of Contents provided by Blackwell. All Rights Reserved.

Noncommutative Structures in Mathematics and Physics

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