Macdonald, I. G. Some conjectures for root systems. (English) Zbl 0498.17006 SIAM J. Math. Anal. 13, 988-1007 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 ReviewsCited in 80 Documents MSC: 17B20 Simple, semisimple, reductive (super)algebras 22E60 Lie algebras of Lie groups 20D08 Simple groups: sporadic groups Keywords:root systems; Weyl group; maximal torus; Dyson’s conjecture; Mehta’s conjecture PDF BibTeX XML Cite \textit{I. G. Macdonald}, SIAM J. Math. Anal. 13, 988--1007 (1982; Zbl 0498.17006) Full Text: DOI OpenURL Digital Library of Mathematical Functions: Ramanujan’s Integrals ‣ §17.13 Integrals ‣ Properties ‣ Chapter 17 q -Hypergeometric and Related Functions Rogers–Ramanujan Constant Term Identities ‣ §17.14 Constant Term Identities ‣ Properties ‣ Chapter 17 q -Hypergeometric and Related Functions Online Encyclopedia of Integer Sequences: Dimensions of split simple Lie algebras over any field of characteristic zero. Freeman Dyson’s list of values of k for which there is an identity of a certain type for the k-th power of the Dedekind eta function.