Introduction .................................................... 1
Chapter 1. Background and Notation .............................. 7
Chapter 2. A Comparison of Two Root Systems .................... 17
Chapter 3. Twisted Weyl Group Actions .......................... 23
Chapter 4. The Harish-Chandra Map .............................. 27
Chapter 5. Quantum Radial Components ........................... 33
Chapter 6. The Image of the Center ............................. 43
Chapter 7. Finding Invariant Elements .......................... 49
Chapter 8. Symmetric Pairs Related to Type All ................. 57
Chapter 9. Four Exceptional Cases .............................. 75
Appendix: Commonly Used Notation ............................... 85
Bibliography ................................................... 89
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