ALGEBRAIC COMBINATORICS

no. 1
Extremal weight projectors II, 𝔤𝔩 N case
Queffelec, Hoel1; Wedrich, Paul2
1 IMAG Univ. Montpellier CNRS Montpellier France
2 Mathematical Sciences Institute The Australian National University Australia
Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 187-223.

We define diagrammatic extremal weight projectors for 𝔤𝔩 N (N≥2), a refinement of Jones–Wenzl projectors and Kuperberg’s clasps. As by-products, we obtain compatible diagrammatic presentations of the representation categories of 𝔤𝔩 N and its Cartan subalgebra, and a categorification of power-sum symmetric polynomials.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.330
Classification: 16S30, 16T05, 18M30
Keywords: General linear Lie algebras, weight spaces, idempotents
Queffelec, Hoel 1; Wedrich, Paul 2

1 IMAG Univ. Montpellier CNRS Montpellier France
2 Mathematical Sciences Institute The Australian National University Australia
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Queffelec, Hoel; Wedrich, Paul. Extremal weight projectors II, $\mathfrak{gl}_{N}$ case. Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 187-223. doi : 10.5802/alco.330. https://alco.centre-mersenne.org/articles/10.5802/alco.330/

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