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

Jun Hu; Andrew Mathas

doi:10.1016/j.aim.2010.03.002

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

Jun Hu^*, Andrew Mathas

^*Corresponding author for this work

University of Sydney

Research output: Contribution to journal › Article › peer-review

105 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	598-642
Number of pages	45
Journal	Advances in Mathematics
Volume	225
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2010.03.002
Publication status	Published - Oct 2010
Externally published	Yes

Keywords

Cellular algebras
Cyclotomic Hecke algebras
Khovanov-Lauda-Rouquier algebras

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10.1016/j.aim.2010.03.002

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title = "Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A",

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

keywords = "Cellular algebras, Cyclotomic Hecke algebras, Khovanov-Lauda-Rouquier algebras",

author = "Jun Hu and Andrew Mathas",

year = "2010",

month = oct,

doi = "10.1016/j.aim.2010.03.002",

language = "English",

volume = "225",

pages = "598--642",

journal = "Advances in Mathematics",

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AU - Hu, Jun

AU - Mathas, Andrew

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N2 - This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A.

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

KW - Cellular algebras

KW - Cyclotomic Hecke algebras

KW - Khovanov-Lauda-Rouquier algebras

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U2 - 10.1016/j.aim.2010.03.002

DO - 10.1016/j.aim.2010.03.002

M3 - Article

AN - SCOPUS:77955321715

SN - 0001-8708

VL - 225

SP - 598

EP - 642

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

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

Abstract

Keywords

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