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arXiv · 1803.08736

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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Abstract

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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BibTeXRIS

C. Bowman, E. Norton, J. Simental. 2018-03-23. Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras. https://arxiv.org/abs/1803.08736

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