Quantum group symmetries in models of elementary particle physics 素粒子物理のモデルにおける量子群対称性

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著者

    • Carow-Watamura, Ursula カーロウ ワタムラ, ウルスラ

書誌事項

タイトル

Quantum group symmetries in models of elementary particle physics

タイトル別名

素粒子物理のモデルにおける量子群対称性

著者名

Carow-Watamura, Ursula

著者別名

カーロウ ワタムラ, ウルスラ

学位授与大学

東北大学

取得学位

博士 (理学)

学位授与番号

甲第4704号

学位授与年月日

1993-03-25

注記・抄録

博士論文

目次

  1. Table of Content / p1 (0003.jp2)
  2. 1. Introduction / p3 (0005.jp2)
  3. Part I / p9 (0011.jp2)
  4. 2. Mathematical structure of the quantum group / p9 (0011.jp2)
  5. 2.1 Hopf algebra / p9 (0011.jp2)
  6. 2.2 The algebra. of functions over a group / p12 (0014.jp2)
  7. 2.3 The quantum group Funq(SL(2,C)) / p14 (0016.jp2)
  8. 2.4 The q-plane a・pp roach / p16 (0018.jp2)
  9. 2.5 Hecke-Iwahori algebra / p18 (0020.jp2)
  10. 3. The quantum Lorentz group / p18 (0020.jp2)
  11. 3.1 q-spinors and tensor products / p19 (0021.jp2)
  12. 3.2 Real representation / p23 (0025.jp2)
  13. 3.3 Projector decomposition of the R-ma.trix / p29 (0031.jp2)
  14. 3.4 q-deformed Clifford algebra / p35 (0037.jp2)
  15. Part II / p42 (0044.jp2)
  16. 4. The structure of bicovariant bimodules / p42 (0044.jp2)
  17. 4.1 Woronowicz's approach / p42 (0044.jp2)
  18. 4.2 The star structure / p44 (0046.jp2)
  19. 4.3 Relation to the dual algebra A′ / p45 (0047.jp2)
  20. 4.4 Relation of the functionals [化学式]with the quantum group R-matrix / p46 (0048.jp2)
  21. 4.5 The structure of the fundamental bicovariant bimodule / p47 (0049.jp2)
  22. 4.6 The bicovariant bimodule containing the adjoint representation / p55 (0057.jp2)
  23. 5. Differential calculus / p59 (0061.jp2)
  24. 5.1 q-deformed one forms / p59 (0061.jp2)
  25. 5.2 The in variance under *-operation / p62 (0064.jp2)
  26. 5.3 Higher order differential forms / p63 (0065.jp2)
  27. 5.4 Generalized p-forms / p67 (0069.jp2)
  28. 5.5 Nilpotency of the exterior derivative and Maurer-Cartan equation / p68 (0070.jp2)
  29. Part III / p70 (0072.jp2)
  30. 6. The quantum group as a symmetry / p70 (0072.jp2)
  31. 6.1 Explicit evaluation of the dual algebra of Funq(SU(2)) / p70 (0072.jp2)
  32. 6.2 The infinitesimal transformation of the quantum group / p74 (0076.jp2)
  33. 6.3 Infinitesimal quantum Lorentz group transformation / p75 (0077.jp2)
  34. 6.4 The q-deformed Schrodinger equation / p77 (0079.jp2)
  35. 7. Discussion and conclusion / p79 (0081.jp2)
  36. 8. Acknowledgement / p80 (0082.jp2)
  37. 9. Appendix / p80 (0082.jp2)
  38. A.1 Relation between the q-Minkowski space algebra and the quantum sphere algebra / p80 (0082.jp2)
  39. A.2 Decomposition of the quantum Lorentz group R-matrix / p81 (0083.jp2)
  40. A.3 Diagrammatics of section / p82 (0084.jp2)
  41. A.4 The right invariant vector field / p83 (0085.jp2)
  42. 10. References / p85 (0087.jp2)
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各種コード

  • NII論文ID(NAID)
    500000095260
  • NII著者ID(NRID)
    • 8000000095486
  • DOI(NDL)
  • NDL書誌ID
    • 000000259574
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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