PlanetPhysics/Quantum Symmetry Bibliography

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Topical references for Quantum Symmetry and Algebra

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References

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  2. ↑ Aguiar, M.; Andruskiewitsch, N. Representations of matched pairs of groupoids and applications to weak Hopf algebras. {\it Contemp. Math.} {\mathbf 2005}, 376 , 127--173.
  3. ↑ Aguiar, M.C.O.; Dobrosavljevic, V.; Abrahams, E.; Kotliar G. Critical behavior at Mott--Anderson transition: a TMT-DMFT perspective. Phys. Rev. Lett. {\mathbf 2009}, 102 , 156402, 4~pages.
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  5. ↑ Alfsen, E.M.; Schultz, F.W. Geometry of state spaces of operator algebras. ; Birkh\"auser: Boston~-- Basel~-- Berlin, 2003.
  6. ↑ Altintash, A.A.; Arika, M. The inhomogeneous invariance quantum supergroup of supersymmetry algebra. Phys. Lett. A {\mathbf 2008}, 372 , 5955--5958.
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  8. ↑ Anderson, P.W. Topology of Glasses and Mictomagnets. Lecture presented at The Cavendish Laboratory : Cambridge, UK, 1977.
  9. ↑ Baez, J. and Huerta, J. An Invitation to Higher Gauge Theory . {\mathbf 2010}, Preprint, March 23, 2010 : Riverside, CA;pp. 60. http://www.math.ucr.edu/home/baez/invitation.pdf
  10. ↑ Baez, J. and Schreiber, U. Higher Gauge Theory II: 2-Connections (JHEP Preprint), 2008;pp.75. \\ http://math.ucr.edu/home/baez/2conn.pdf.
  11. ↑ Baianu, I.C.; Editor. Quantum Algebra and Symmetry: Quantum Algebraic Topology, Quantum Field Theories and Higher Dimensional Algebra ; PediaPress GmbH: Mainz, Second Edition, Vol. \\1 : Quantum Algebra, Group Representations and Symmetry ; Vol.2 : Quantum Algebraic Topology: \\ QFTs, SUSY, HDA ;Vol.3 : Quantum Logics and Quantum Biographies , December 20, 2010;pp. 1,068.
  12. ↑ Baianu, I.C. Categories, functors and automata theory: a novel approach to quantum automata through algebraic-topological quantum computation. In Proceedings of the 4th Intl. Congress of Logic, Methodology and Philosophy of Science, Bucharest, August~-- September, 1971 ; University of Bucharest: Bucharest, 1971;pp. 256--257.
  13. ↑ Baianu, I.C. Structural studies of erythrocyte and bacterial cytoplasmic membranes by X-ray diffraction and electron microscopy. PhD Thesis; Queen Elizabeth College: University of London, 1974.
  14. ↑ Baianu, I.C. X-ray scattering by partially disordered membrane systems. Acta Cryst. A , 1978, {\mathbf 34}: 751--753.
  15. ↑ Baianu, I.C.; Boden, N.; Levine, Y.K.;Lightowlers, D. Dipolar coupling between groups of three spin-1/2 undergoing hindered reorientation in solids. {\it Solid State Comm.} 1978, {\mathbf 27}, 474--478.
  16. ↑ Baianu, I.C. Structural order and partial disorder in biological systems. Bull. Math. Biology {\mathbf 1980}, 42 , 464--468.
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  18. ↑ Baianu, I.C.; Boden, N.;Lightowlers, D. NMR spin-echo responses of dipolar-coupled spin-1/2 triads in solids. J. Magnetic Resonance {\mathbf 1981},43 , 101--111.
  19. ↑ Baianu, I.C.; Boden, N.; Mortimer, M.; Lightowlers, D. A new approach to the structure of concentrated aqueous electrolyte solutions by pulsed N.M.R. Chem. Phys. Lett. {\mathbf 1978}, 54 , 169--175.
  20. ↑ Baianu, I.C.; Glazebrook J.F.; Brown, R. A non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity. Axiomathes {\mathbf 2007}, 17 , 353--408.
  21. ↑ Baianu, I. C.; Glazebrook, J. F.; Brown, R. Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review. Sigma {\mathbf 2009}, 5 , 70 pages.
  22. ↑ Baianu, I.C.; Rubinson, K.A.; Patterson, J. The observation of structural relaxation in a FeNiPB glass by X-ray scattering and ferromagnetic resonance. {\em Phys. Status Solidi A} {\mathbf 1979}, 53 , K133--K135.
  23. ↑ Baianu, I.C.; Rubinson, K.A.; Patterson, J. Ferromagnetic resonance and spin--wave excitations in metallic glasses. J. Phys. Chem. Solids {\mathbf 1979}, 40 , 940--951.
  24. ↑ Bais, F. A.; Schroers, B. J.; and Slingerland, J. K. Broken quantum symmetry and confinement phases in planar physics. Phys. Rev. Lett. 2002 , 89 , No. 18 (1--4), 181--201.
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  28. ↑ Barrett, J.W. Geometrical measurements in three-dimensional quantum gravity. In Proceedings of the Tenth Oporto Meeting on Geometry, Topology and Physics (2001) , Internat. J. Modern Phys. A {\mathbf 2003}, 18 , October, suppl., 97--113.
  29. ↑ Barrett, J.W.; Mackaay, M. Categorical representation of categorical groups. Theory Appl. Categ. {\mathbf 2006},16 , 529--557.
  30. ↑ Baues, H.J. ; Conduch{\'e}, D. On the tensor algebra of a nonabelian group and applications. K-Theory {\mathbf 1991/92}, 5 ), 531--554.
  31. ↑ Bellissard, J. K-theory of C*-algebras in solid state physics. Statistical Mechanics and Field Theory: Mathematical Aspects
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  38. ↑ Bohm, A.; Gadella, M. Dirac kets, Gamow vectors and Gelfan'd triples. The rigged Hilbert space formulation of quantum mechanics, {\it Lecture Notes in Physics}, Vol.~348 ; Springer-Verlag:Berlin, 1989.
  39. ↑ Borceux, F.; Janelidze, G. Galois Theories. Cambridge Studies in Advanced Mathematics , Vol.72 ; Cambridge University Press: Cambridge, 2001.
  40. ↑ Bos, R. Continuous representations of groupoids, Houston J. Math , in press
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  42. ↑ Bos, R. Groupoids in geometric quantization . PhD thesis: Radboud University Nijmegen, 2007.
  43. ↑ Brauner, T. Spontaneous Symmetry Breaking and Nambu--Goldstone Bosons in Quantum Many-Body Systems. Symmetry {\mathbf 2010}, 2 , 609-657.
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  46. ↑ Brown, R. Computing homotopy types using crossed n-cubes of groups. In Adams Memorial Symposium on Algebraic Topology, 1, (Manchester, 1990) . London Math. Soc. Lecture Note Ser. Volume 175 ; Cambridge Univ. Press: Cambridge, 1992;pp. 187--210.
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  49. ↑ Brown, R. Exact sequences of fibrations of crossed complexes, homotopy classif\/ication of maps, and nonabelian extensions of groups. J. Homotopy Relational Struct. {\mathbf 2008}, 3 , 331--342.
  50. ↑ Brown, R. Crossed complexes and higher homotopy groupoids as noncommutative tools for higher dimensional local-to-global problems. In Handbook of Algebra . Vol.6 , 83--124; Michiel Hazewinkel, Editor; Elsevier:North-Holland: Amsterdam, 2009. See also the previous lecture presented by R. Brown in Categorical Structures for Descent, Galois Theory, Hopf algebras and semiabelian categories. ; Fields Institute, September 23-28, 2002. Fields Institute Communications {\mathbf 2004} 43 , 101-130.
  51. ↑ Brown, R.; and Gilbert, N. D. Algebraic models of {3}-types and automorphism structures for crossed modules. Proc. London Math. Soc. (3) {\mathbf 1989},59 ~(1) 51--73.
  52. ↑ Brown, R.; Glazebrook, J.F.; Baianu, I.C. A categorical and higher dimensional algebra framework for complex systems and spacetime structures. Axiomathes {\mathbf 2008}, 17 , 409--493.
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  54. ↑ 54.0 54.1 Brown, R.; Kamps, H.; Porter T. A homotopy double groupoid of a Hausdorff space II: a van Kampen theorem. Theory and Applications of Categories {\mathbf (2005)}, 14 , 200-220. Cite error: Invalid <ref> tag; name "Brown-etal2k2" defined multiple times with different content
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  295. ↑ Yang, C.N.; Mills, R.L. Conservation of isotopic spin and isotopic gauge invariance. Phys. Rev. {\mathbf 1954}, 96 , 191--195.
  296. ↑ Yang, C.N. Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors.Rev. Mod. Phys. {\mathbf 1962}, 34 , 694–704.
  297. ↑ Yetter, D.N. TQFTs from homotopy 2-types. J. Knot Theory Ramifications {\mathbf 1993}, 2 , 113--123.
  298. ↑ Ypma, F. K-theoretic gap labelling for quasicrystals, Contemp. Math. {\mathbf 2007}, 434 , 247--255; Amer. Math. Soc. : Providence, RI,.
  299. ↑ Ypma, F. Quasicrystals, C*-algebras and K-theory . Msc. Thesis. {\mathbf 2004}: University of Amsterdam.
  300. ↑ Zhang, R.B. Invariants of the quantum supergroup Uq(gl(m/1)). J. Phys. A: Math. Gen. {\mathbf 1991}, 24 , L1327--L1332.
  301. ↑ Zhang, Y.-Z.; Gould, M.D. Quasi-Hopf superalgebras and elliptic quantum supergroups, J. Math. Phys. {\mathbf 1999}, 40 , 5264--5282,

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