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Conjecture on generators of the ideal $I^{\mu}_N$ in the parabolic Hecke algebra
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Generator conjectures. The element $X^{\mu}_N$ generates $I^{\mu}_N$ ; the element $Y^{\mu}_N$ generates $I^{\mu}_N$ ; and
openkazhdan-lusztig-theory parabolic-hecke-algebras schur-weyl-duality
09

Conjecture on generators of the ideal INμI^{\mu}_NINμ​ in the parabolic Hecke algebra