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

MSC:
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 · doi:10.1007/BF00531932
[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 · doi:10.1090/S0002-9904-1968-11921-4 · minidml.mathdoc.fr
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