Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

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