Bourbaki, N. Groupes et algèbres de Lie. Chapitres 4, 5 et 6. (French) Zbl 0483.22001 Elements de Mathematique. Paris etc.: Masson. 288 p. (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 566 Documents MSC: 22E10 General properties and structure of complex Lie groups 22E15 General properties and structure of real Lie groups 22E60 Lie algebras of Lie groups 22-02 Research exposition (monographs, survey articles) pertaining to topological groups Keywords:semi-simple Lie algebras; root systems; Tits systems; BN-pairs; Coxeter groups; Weyl groups Citations:Zbl 0186.330 × Cite Format Result Cite Review PDF Online Encyclopedia of Integer Sequences: a(0) = 1; for n > 0, a(n) = 2^(n-1)*n!. Number of reduced words of length n in the infinite affine Weyl group (E_6)^{ } on 7 generators.