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arxiv: 1111.5898 · v1 · pith:4MDBMA24new · submitted 2011-11-25 · 🧮 math.RT

Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras

classification 🧮 math.RT
keywords algebraskhovanov-lauda-rouquierappearingbiadjointbiadjointnesscategorificationcycliccyclotomic
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We prove that the simple root functors E and F appearing in the categorification of irreducible highest weight modules of quantum groups via cyclotomic Khovanov-Lauda-Rouquier algebras is a biadjoint pair.

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