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