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

2009/07/17 by Jun Hu, Hu, Jun, Andrew Mathas +1 · 2 citations
Mathematics · Physics and Astronomy · #20C08 #20C30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0907.2985

openalex publication_date 2009/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• 2-Kac-Moody algebras

Cited by

• Morita equivalences between cyclotomic KLR algebras in types \mathttC_∞ and \mathttA_∞
• Invariants for isomorphism classes in the category \bcalNT

Related

• Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of Type A
• Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types
• Graded cellular basis and Jucys-Murphy elements for generalized blob\n algebras
• Cellularity of KLR and weighted KLRW algebras via crystals
• Cellularity and subdivision of KLR and weighted KLRW algebras