Representations of Khovanov-Lauda-Rouquier algebras III: Symmetric Affine Type

Peter J. McNamara

Representations of Khovanov-Lauda-Rouquier algebras III: Symmetric Affine Type

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arxiv 1407.7304 v4 pith:C6F2JEV7 submitted 2014-07-28 math.RT math.QA

Peter J. McNamara This is my paper · ORCID

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We develop the homological theory of KLR algebras of symmetric affine type. For each PBW basis, a family of standard modules is constructed which categorifies the PBW basis.

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On a Schur-positive function
math.CO 2026-07 accept novelty 7.0 of 10

The symmetric functions W^{(e)}_n are Schur-positive, with coefficients given by the numbers of standard Young tableaux of an explicit skew shape.

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