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Palindromic Poincaré polynomials in Bn

  • Gaston Burrull
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Abstract

We describe the set of palindromic Poincaré polynomials in Bn. As a key ingredient in this classification, we prove that An embeds into Bn as a lower interval in Bruhat order. Consequently, all Poincare polynomials Pw(q) and all Kazhdan--Lusztig polynomials Px,y(q) of An occur in Bn.

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Cite

BibTeXRIS
BibTeX
@misc{burrull2026palindromic,
  title = {{Palindromic Poincaré polynomials in $B_n$}},
  author = {Gaston Burrull},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.07659},
  eprint = {2607.07659},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.07659},
}
RIS
TY  - UNPB
TI  - Palindromic Poincaré polynomials in B_n
AU  - Gaston Burrull
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2607.07659
UR  - https://arxiv.org/abs/2607.07659
AB  - We describe the set of palindromic Poincaré polynomials in B_n. As a key ingredient in this classification, we prove that A_n embeds into B_n as a lower interval in Bruhat order. Consequently, all Poincare polynomials P_w(q) and all Kazhdan--Lusztig polynomials P_x,y(q) of A_n occur in B_n.
ER  -