Resolutions of standard modules over KLR algebras of type \(A\)

Khovanov-Lauda-Rouquier algebras \(R_\theta\) of finite Lie type are affine quasihereditary with standard modules \(\Delta(\pi)\) labeled by Kostant partitions \(\pi\) of \(\theta\). In type \(A\), we construct explicit projective resolutions of standard modules \(\Delta(\pi)\).

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Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Buursma, Doeke, Kleshchev, Alexander, Steinberg, David J
Format: Article
Language:English
Subjects:
Extranets
Intranets
Modules
Online Access:Get full text
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Summary:Khovanov-Lauda-Rouquier algebras \(R_\theta\) of finite Lie type are affine quasihereditary with standard modules \(\Delta(\pi)\) labeled by Kostant partitions \(\pi\) of \(\theta\). In type \(A\), we construct explicit projective resolutions of standard modules \(\Delta(\pi)\).
ISSN:2331-8422