Möbius inversion for the Bruhat ordering on a Weyl group. (English) Zbl 0236.20035


20F99 Special aspects of infinite or finite groups
06A06 Partial orders, general
17B99 Lie algebras and Lie superalgebras
22E99 Lie groups
20G99 Linear algebraic groups and related topics
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[1] N. BOURBAKI , Élément de Mathématiques ; Fasc. XXXIV : Groupes et Algèbres de Lie, chap. IV et V, Hermann, Paris, 1968 . Zbl 0186.33001 · Zbl 0186.33001
[2] G.-C. ROTA , On the foundations of combinatorial theory ; I. Theory of Möbius functions (Zeits. für Wahrscheinlichkeitstheorie, vol. 2, 1964 , p. 340-368). MR 30 #4688 | Zbl 0121.02406 · Zbl 0121.02406
[3] D.-N. VERMA , Structure of certain induced representations of complex semisimple Lie algebras (Bull. Amer. Math. Soc., vol. 74, 1968 , p. 160-166). Article | MR 36 #1503 | Zbl 0157.07604 · Zbl 0157.07604
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