Palindromic Poincaré polynomials in Type B

2026/07/08 by Gaston Burrull
#math.CO #math.RT

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Abstract

We completely describe the set of all palindromic Poincaré polynomials in type B_n. Additionally, we show that all lower Bruhat intervals in type A_n occur in type B_n. As a consequence, all Poincaré polynomials P_w(q) and all Kazhdan--Lusztig polynomials P_x,y(q) of type A_n occur in type B_n.

Related

• Palindromic intervals in Bruhat order and hyperplane arrangements
• A weak Lehmer code for type F₄
• Invariance Combinatoire des Polynomes de Kazhdan-Lusztig sur les intervalles partant de l'origine
• Staircase palindromic polynomials
• The Palindromic Trees