Representation type of level 1 KLR algebras RΛk(β) in type C

We determine the representation type for block algebras of the quiver Hecke algebras RΛk(β) of type C(1)ℓ for all k, generalising results of Ariki–Park for Λ = Λ0.

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Publication Details

Journal
Okinawa Institute of Science and Technology Graduate University (Okinawa Institute of Science and Technology Graduate University)
Published
2024-10-01
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Representation type of level 1 KLR algebras RΛk(β) in type C

Okinawa Institute of Science and Technology Graduate University (Okinawa Institute of Science and Technology Graduate University)
Algebraic structures and combinatorial models
article

Representation type of level 1 KLR algebras RΛk(β) in type C

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Abstract

We determine the representation type for block algebras of the quiver Hecke algebras RΛk(β) of type C(1)ℓ for all k, generalising results of Ariki–Park for Λ = Λ0.

Okinawa Institute of Science and Technology Graduate University (Okinawa Institute of Science and Technology Graduate University)
Osaka University of Economics (JP)
Openalex Percentile: Top 38%
Algebraic structures and combinatorial models
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Representation type of level 1 KLR algebras RΛk(β) in type C · Okinawa Institute of Science and Technology Graduate University (Okinawa Institute of Science and Technology Graduate University) (2024) | TGRS Research Map | TGRS