Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras

C. Bowman; E. Norton; J. Simental

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Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras

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arxiv 1803.08736 v3 pith:XUIBSN3K submitted 2018-03-23 math.RT

C. Bowman , E. Norton , J. Simental This is my paper

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keywords algebrascherednikbasescharacteristic-freeheckemodulesquiverresolutions

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We construct characteristic-free bases and BGG resolutions of unitary simple modules of quiver Hecke algebras and Cherednik algebras. We hence solve and vastly generalise Berkesch-Griffeth-Sam's conjecture, calculate the Castelnuovo-Mumford regularity of ideals of of certain highly symmetric linear subspace arrangements, and compute Dirac homology of Cherednik algebras.

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