The Odd nilHecke Algebra and its Diagrammatics

DOI10.1093/imrn/rns240zbMath1356.20004arXiv1111.1320OpenAlexW2049388613MaRDI QIDQ2878699

Alexander P. Ellis, Aaron D. Lauda, Mikhail G. Khovanov

Publication date: 5 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1320

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08)

Related Items (22)

Affine wreath product algebras with trace maps of generic parity ⋮ Not even Khovanov homology ⋮ The differential graded odd nilHecke algebra ⋮ The odd Littlewood-Richardson rule ⋮ Quantum supergroups II. Canonical basis ⋮ Odd knot invariants from quantum covering groups ⋮ A geometric setting for quantum 𝔬𝔰𝔭(1|2) ⋮ Graded dimensions and monomial bases for the cyclotomic quiver Hecke superalgebras ⋮ DG structures on odd categorified quantum \(sl(2)\) ⋮ Spin nilHecke algebras of classical type ⋮ Clifford-symmetric polynomials ⋮ Odd two-variable Soergel bimodules and Rouquier complexes ⋮ Quantum supergroups. I: Foundations ⋮ The Hopf algebra of odd symmetric functions ⋮ Categorification at prime roots of unity and hopfological finiteness ⋮ Quantum supergroups. III: Twistors ⋮ Quantum supergroups. IV: The modified form ⋮ On \(q\)-symmetric functions and \(q\)-quasisymmetric functions ⋮ On 2-Verma modules for quantum \({\mathfrak {sl}_{2}}\) ⋮ Frobenius nil-Hecke algebras ⋮ Categorification of quantum Kac-Moody superalgebras ⋮ An odd categorification of \(U_q(\mathfrak{sl}_2)\)

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