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  On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras

Bowman, C., Norton, E., & Simental, J. (2022). On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras. Selecta Mathematica, 28(2): 29. doi:10.1007/s00029-021-00739-x.

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Bowman-Norton-Simental_On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras_2022.pdf (Publisher version), 3MB
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 Creators:
Bowman, C., Author
Norton, E.1, Author           
Simental, J.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory
 Abstract: We provide a homological construction of unitary simple modules of Cherednik and
Hecke algebras of type A via BGG resolutions, solving a conjecture of Berkesch–
Griffeth–Sam. We vastly generalize the conjecture and its solution to cyclotomic
Cherednik and Hecke algebras over arbitrary ground fields, and calculate the Betti
numbers and Castelnuovo–Mumford regularity of certain symmetric linear subspace
arrangements.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 71
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/s00029-021-00739-x
arXiv: 1803.08736
 Degree: -

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Title: Selecta Mathematica
Source Genre: Journal
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Publ. Info: Birkhäuser
Pages: - Volume / Issue: 28 (2) Sequence Number: 29 Start / End Page: - Identifier: -