4 problems

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Marietti's parabolic Combinatorial Invariance Conjecture
Parabolic Combinatorial Invariance Conjecture. Then
Conjectureopencoxeter-groups kazhdan-lusztig-polynomials parabolic-quotientsarXiv posted 2 days ago
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Parabolic Coxeter–Catalan numbers for types A, B, H and I
Let $(W,S)$ be a Coxeter system with $W\in\{A_n,B_n,H_3,I_2(m)\}$ , and let $J\subseteq S$ . The sets $\operatorname{Align}(W^J,c)$ , $\operatorname{NC}(W^J,c)$ ,…
Conjecturerefutedcatalan-combinatorics coxeter-groups parabolic-quotientsarXiv posted 2 days ago
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The parabolic Kazhdan–Lusztig R-polynomial product formula for the symmetric group
Let $S_n$ be the symmetric group with simple reflections $s_1,\ldots,s_{n-1}$ , and let … Let $(S_n)^J$ denote the set of minimal representatives for the corresponding parabolic quo…
Conjectureopenkazhdan-lusztig-polynomials parabolic-quotients symmetric-groupsarXiv posted 2 days ago
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Stasinski and Voll's hyperoctahedral group factorization conjecture
Stasinski and Voll's conjecture. The polynomial $xt+1$ divides
Conjectureopenhyperoctahedral-groups length-generating-functions parabolic-quotientsarXiv posted 2 days ago

Marietti's parabolic Combinatorial Invariance Conjecture