Noncommutative Structures in Mathematics and Physics

Cover......Page 1
Front matter......Page 2
1. Gauge Theories Beyond Gauge Theory......Page 11
2. Symmetries Wider than Supersymmetry......Page 22
3. Tensions in Supergravity Braneworlds......Page 40
4. An Unconventional Supergravity......Page 50
5. Supersymmetry of RS Bulk and Brane......Page 57
6. D-Branes and Vacuum Periodicity......Page 68
7. Quantum Deformations of Space-Time Susy and Noncommutative Superfield Theory......Page 86
8. The Howe Duality and Lie Superalgebras......Page 99
9. Enveloping Algebra of GL(3) and Orthogonal Polynomials......Page 118
10. Noninvertibility, Semisupermanifolds and Categories Regularization......Page 130
11. An Overview of New Supersymmetric Gauge Theories with 2-Form Gauge Potentials......Page 145
12. Supersymmetric......Page 157
13. Massive Superparticle with Spinorial Central Charges......Page 164
14. Rotating Super Black Hole as Spinning Particle......Page 184
15. Classifying......Page 197
16. Para, Pseudo, and Orthosupersymmetric Quantum Mechanics and their Bosonization......Page 204
17. Supersymmetric Odd Mechanical Systems and Hilbert Q-Module Quantization......Page 215
18. Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces......Page 228
19. Finiteness in Conventional......Page 243
20. World Volume Realization of Automorphisms......Page 256
21. Some Metrics on the Manin Plane......Page 268
22. Coherence Isomorphisms for a Hopf Category......Page 280
23. Fusion Rings and Tensor Categories......Page 292
24. On Categories of Gelfand-Zetlin Modules......Page 296
25. Hidden Symmetry of Some Algebras of q-Differential Operators......Page 305
26. A Family of *-Algebras Allowing Wick Ordering: Fock Representations and Universal Enveloping......Page 317
27. Nonstandard Quantization of the Enveloping Algebra U(so(n)) and its Applications......Page 326
28. Can the Cabibbo Mixing Originate from Noncommutative Extra Dimensions?......Page 338
29. Nonclassical Type Representations of Nonstandard Quantization of Enveloping Algebras U(so(n)), U(so(n,1)) and U(iso(n))......Page 351
30. Quasiparticles in Non-Commutative Field Theory......Page 363
31. Time Dependence and (Non)commutativity of Symmetries of Evolution Equations......Page 373
32. ......Page 385
33. Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects......Page 394
34. Gibbs States of a Lattice System of Quantum Anharmonic Oscillators......Page 407
35. A Metric-Affine Field Model for the Neutrino......Page 418
36. Generalized Taub-Nut Metrics and Killing-Yano Tensors......Page 431
37. An Effective Model of the Spacetime Foam......Page 443
38. Possible Constraints on String Theory in Closed Space with Symmetries......Page 454
39. Semiclassical Dynamics of......Page 463
Back matter......Page 469