Extremal weight projectors

DOI10.4310/MRL.2018.v25.n6.a11zbMath1475.57024arXiv1701.02316OpenAlexW2574003757WikidataQ128163513 ScholiaQ128163513MaRDI QIDQ2424327

Paul Wedrich, Hoel Queffelec

Publication date: 24 June 2019

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02316

zbMATH Keywords

idempotentsChebyshev polynomialsTemperley-Lieb categorycategorificationKauffman bracket skein moduleJones-Wenzl projectors\(\mathfrak{sl}_2\)-representationsprojections onto extremal weight spaces

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) General theory of categories and functors (18A99) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (7)

A generalization of the Gram determinant of type A ⋮ Annular webs and Levi subalgebras ⋮ Extremal weight projectors. II: \(\mathfrak{gl}_N\) case ⋮ Invariants of 4-manifolds from Khovanov-Rozansky link homology ⋮ Diagrammatic categorification of the Chebyshev polynomials of the second kind ⋮ Khovanov homology and categorification of skein modules ⋮ A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain

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