Resolutions of standard modules over KLR algebras of type A

2019/06/26 by Buursma, Doeke, Kleshchev, Alexander, Steinberg, David J.
#16E05 #16G99 #17B37 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1906.11376

Abstract

Khovanov-Lauda-Rouquier algebras R_θ of finite Lie type are affine quasihereditary with standard modules Δ(π) labeled by Kostant partitions π of θ. In type A, we construct explicit projective resolutions of standard modules Δ(π).

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