A Stembridge-Stanton Style Proof of the Habsieger-Kadell q-Morris Identity

By Doron Zeilberger

Appeared in: Discrete Math 79 (1989), 313-322.

The Stembridge-Stanton "trick" (or rather "method", since I used it at least two times, in fact quite a few times), served me very well, most dramatically in the proof of the Alternating Sign Matrix Conjecture. Here I show how it can be used to find a beautiful elementary proof of the celebrated q-analog of the Morris Constant Term Identity, first proved by Laurent Habsieger and Kevin Kadell (independently). The method of this article was further used, to great advantage, by Shaun Cooper, a student of Dick Askey.

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