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

DOI10.1016/0747-7171(92)90033-ZzbMath0766.33017WikidataQ123136882 ScholiaQ123136882MaRDI QIDQ1199815

Frank G. Garvan, Gaston H. Gonnet

Publication date: 16 January 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

root systemMacdonald's conjectures

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) (q)-calculus and related topics (05A30) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Macdonald’s constant term conjectures for exceptional root systems ⋮ Askey-Wilson type integrals associated with root systems ⋮ Bailey type summation formulas associated with the root system \(F_4^{\lor}\) ⋮ A generalization of Selberg’s beta integral

Uses Software

• GCDHEU

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some applications of hypergeometric shift operators
• A proof of Andrews' \(q\)-Dyson conjecture
• A holonomic systems approach to special functions identities
• The Poincaré series of a Coxeter group
• A generalization of Selberg’s beta integral
• A Proof of the Macdonald–Morris Root System Conjecture for $F_4 $
• A Proof of the $G_2 $ Case of Macdonald’s Root System-Dyson Conjecture
• A Short Proof of MacDonald's Conjecture for the Root Systems of Type A
• A Unified Approach to Macdonald’s Root-System Conjectures
• The EEZ-GCD algorithm
• Some Conjectures for Root Systems
• Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
• A proof of the 𝑞-Macdonald-Morris conjecture for 𝐵𝐶_{𝑛}
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: 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