A Short Proof of MacDonald's Conjecture for the Root Systems of Type A

DOI10.2307/2047309zbMath0645.10017OpenAlexW4253179245WikidataQ122980311 ScholiaQ122980311MaRDI QIDQ3788082

John R. Stembridge

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047309

zbMATH Keywords

Macdonald's conjectureAndrews' q-Dyson identityroot systems of type A

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (16)

Macdonald’s constant term conjectures for exceptional root systems ⋮ A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem ⋮ The Selberg-Jack symmetric functions ⋮ Generalizations of the \(q\)-Morris constant term identity ⋮ Two families of constant term identities ⋮ Twisted strong Macdonald theorems and adjoint orbits ⋮ The importance of the Selberg integral ⋮ A proof of the two parameter \(q\)-cases of the Macdonald-Morris constant term root system conjecture for \(S(F_ 4)\) and \(S(F_ 4)^ \vee\) via Zeilberger's method ⋮ Logarithmic and Complex Constant Term Identities ⋮ A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q- Morris identity ⋮ A family of \(q\)-Dyson style constant term identities ⋮ Some conjectures and results concerning the homology of nilpotent Lie algebras ⋮ Autour de la conjecture de Dyson. (Around the conjecture of Dyson) ⋮ On a Selberg-Schur integral ⋮ Symmetric and nonsymmetric Macdonald polynomials ⋮ Leading coefficients of Morris type constant term identities

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