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arxiv: 0907.2985 · v2 · submitted 2009-07-17 · 🧮 math.RT · math.CO· math.QA

Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A

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keywords algebrascellularcyclotomictypebasesbasisconstructsexplicit
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This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov--Lauda--Rouquier algebras of type $A$.

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  1. Sandwich cellularity and a version of cell theory

    math.RT 2022-06 unverdicted novelty 5.0

    Sandwich cellularity is presented as a version of cell theory for algebras and applied to Hecke algebras plus monoid and diagram algebras.