
The main aim of this work is to give a case-free algebraic proof for a theorem of Eng on the Poincaré polynomial of parabolic quotients of finite Coxeter groups evaluated at -1.
Matematik, FOS: Mathematics, Mathematics - Combinatorics, Coxeter groups;descent algebras;Poincaré polynomial;the longestelement;$q=-1$ phenomenon, Combinatorics (math.CO), Group Theory (math.GR), 20F55, Representation Theory (math.RT), Mathematics - Group Theory, Mathematical Sciences, Mathematics - Representation Theory
Matematik, FOS: Mathematics, Mathematics - Combinatorics, Coxeter groups;descent algebras;Poincaré polynomial;the longestelement;$q=-1$ phenomenon, Combinatorics (math.CO), Group Theory (math.GR), 20F55, Representation Theory (math.RT), Mathematics - Group Theory, Mathematical Sciences, Mathematics - Representation Theory
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