Representations of Cohomological Hall Algebras and Donaldson–Thomas Theory with Classical Structure Groups

Young, Matthew B.

doi:10.1007/s00220-020-03877-z

Commun. Math. Phys.

2020

DOI: 10.1007/s00220-020-03877-z

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Representations of Cohomological Hall Algebras and Donaldson–Thomas Theory with Classical Structure Groups

Matthew B. Young

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2023

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Representations of orientifold Khovanov–Lauda–Rouquier algebras and the Enomoto–Kashiwara algebra

Przeździecki

2023

Pacific J. Math.

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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 duality type functor, to Kac-Moody quantum symmetric pairs, and, via a categorification theorem, to highest weight modules over an algebra introduced by Enomoto and Kashiwara. Our first main result is a new shuffle realization of these highest weight modules and a combinatorial construction of their PBW and canonical bases in terms of Lyndon words. Our second main result is a classification of irreducible representations of orientifold KLR algebras and a computation of their global dimension in the case when the framing is trivial.

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Representations of orientifold Khovanov–Lauda–Rouquier algebras and the Enomoto–Kashiwara algebra

Przeździecki

2023

Pacific J. Math.

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Representations of Cohomological Hall Algebras and Donaldson–Thomas Theory with Classical Structure Groups

Cited by 1 publication

References 32 publications

Representations of orientifold Khovanov–Lauda–Rouquier algebras and the Enomoto–Kashiwara algebra

Representations of orientifold Khovanov–Lauda–Rouquier algebras and the Enomoto–Kashiwara algebra

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