A short proof of Macdonald’s conjecture for the root systems of type 𝐴

Stembridge, John R.

doi:10.1090/S0002-9939-1988-0934842-5

A short proof of Macdonald’s conjecture for the root systems of type $A$
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by John R. Stembridge

Proc. Amer. Math. Soc. 102 (1988), 777-786

DOI: https://doi.org/10.1090/S0002-9939-1988-0934842-5

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Abstract:

We give a new proof of I. G. Macdonald’s conjecture for the root systems of type $A$ (or equivalently, the equal parameter $q$-Dyson Theorem) that is short, elementary and direct. We also give a short proof of the equal parameter case of a constant term identity due to D. Bressoud and I. Goulden.

References

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