2 problems

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Centrality conjecture for the generator $X^{\mu}_N$
Let $H^{\mu}(S_n)$ be the parabolic Hecke algebra, let $I^{\mu}_N$ be the ideal under consideration, and let … be the conjectural generator of $I^{\mu}_N$ . Centrality conjecture. T…
Conjectureopenkazhdan-lusztig-theory parabolic-hecke-algebrasarXiv posted 2 days ago
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Conjecture on generators of the ideal $I^{\mu}_N$ in the parabolic Hecke algebra
Generator conjectures. The element $X^{\mu}_N$ generates $I^{\mu}_N$ ; the element $Y^{\mu}_N$ generates $I^{\mu}_N$ ; and
Conjectureopenkazhdan-lusztig-theory parabolic-hecke-algebras schur-weyl-dualityarXiv posted 2 days ago

Centrality conjecture for the generator XNμX^{\mu}_NXNμ​