A categorification of quantum \(\mathfrak{sl}(2)\) at prime roots of unity

DOI10.1016/j.aim.2016.06.002zbMath1355.81096arXiv1503.05114OpenAlexW1920861768MaRDI QIDQ2629118

You Qi, Ben Elias

Publication date: 20 July 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05114

zbMATH Keywords

Grothendieck groupssymmetric polynomialscategorificationHopfological algebraquantum group at roots of unitydifferential thick calculusnilHeke algebrap-DG algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05)

Related Items (12)

The differential graded odd nilHecke algebra ⋮ A braid group action on a \(p\)-DG homotopy category ⋮ Categorifying Hecke algebras at prime roots of unity, part I ⋮ DG structures on odd categorified quantum \(sl(2)\) ⋮ 𝑝-DG Cyclotomic nilHecke Algebras ⋮ 𝑝-DG Cyclotomic nilHecke Algebras II ⋮ Actions of \(\mathfrak{sl}_2\) on algebras appearing in categorification ⋮ Invariants of 4-manifolds from Khovanov-Rozansky link homology ⋮ Categorification at prime roots of unity and hopfological finiteness ⋮ Cell 2-representations and categorification at prime roots of unity ⋮ A two-variable series for knot complements ⋮ A CATEGORIFICATION OF A QUANTUM FROBENIUS MAP

Cites Work

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• Extended graphical calculus for categorified quantum sl(2)

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