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A proof of the $q$-Macdonald-Morris conjecture for $BC_{n}$
About this Title
Kevin W. J. Kadell
Publication: Memoirs of the American Mathematical Society
Publication Year:
1994; Volume 108, Number 516
ISBNs: 978-0-8218-2552-5 (print); 978-1-4704-0093-4 (online)
DOI: https://doi.org/10.1090/memo/0516
MathSciNet review: 1140650
MSC: Primary 33D80; Secondary 05E15, 17B20
Table of Contents
Chapters
- 1. Introduction
- 2. Outline of the proof and summary
- 3. The simple roots and reflections of $B_n$ and $C_n$
- 4. The $q$-engine of our $q$-machine
- 5. Removing the denominators
- 6. The $q$-transportation theory for $BC_n$
- 7. Evaluation of the constant terms $A$, $E$, $K$, $F$ and $Z$
- 8. $q$-analogues of some functional equations
- 9. $q$-transportation theory revisited
- 10. A proof of Theorem 4
- 11. The parameter $r$
- 12. The $q$-Macdonald-Morris conjecture for $B_n$, $B^\vee _n$, $C_n$, $C^\vee _n$ and $D_n$
- 13. Conclusion