Integral basis theorem of cyclotomic Khovanov–Lauda–Rouquier algebras of type A

Ge Li

doi:10.1016/j.jalgebra.2017.02.022

Integral basis theorem of cyclotomic Khovanov–Lauda–Rouquier algebras of type A

Ge Li

Open Access

https://doi.org/10.1016/j.jalgebra.2017.02.022

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Journal: Journal of Algebra	Publication Date: Mar 16, 2017
Citations: 10	License type: publisher-specific-oa

Affiliation: University of Sydney

#Integral Theorem #Khovanov Lauda Rouquier Algebras + Show 6 more

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Abstract

In this paper we prove that the cyclotomic Khovanov–Lauda–Rouquier algebras in type A, RnΛ, are Z-free. We then extend the graded cellular basis of RnΛ constructed by Hu and Mathas to Rn and use this basis to give a classification of all irreducible Rn-modules.

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