• Corpus ID: 248069461

Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras

@inproceedings{Appel2022GeneralizedSD,
  title={Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras},
  author={Andrea Appel and Tomasz Przeździecki},
  year={2022}
}
. We define a boundary analogue of the Kang-Kashiwara-Kim-Oh generalized Schur-Weyl dualities between quantum affine algebras and Khovanov-Lauda-Rouquier (KLR) algebras. Let g be a complex simple Lie algebra and U q L g the corresponding quantum affine algebra. We construct a functor θ F between finite-dimensional modules over a quantum symmetric pair of affine type U q k ⊂ U q L g and an orientifold KLR ( o KLR) algebra arising from a framed quiver with a contravariant involution, whose nodes are… 
Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra
. We consider an “orientifold” generalization of Khovanov–Lauda–Rouquier algebras, depending on a quiver with an involution and a framing. Their representation theory is related, via a Schur–Weyl

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