CATEGORIFICATION OF SOME LEVEL TWO REPRESENTATIONS OF QUANTUM 𝔰𝔩n

DOI10.1142/S0218216506004713zbMath1165.17006arXivmath/0204333OpenAlexW2183877809MaRDI QIDQ5493885

Ruth Stella Huerfano, Mikhail G. Khovanov

Publication date: 16 October 2006

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204333

zbMATH Keywords

representationsquantum groupscategorificationexact functors

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

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Cites Work

• A functor-valued invariant of tangles
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A diagram calculus for certain canonical bases
• Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\)
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• Introduction to quantum groups
• A category for the adjoint representation