An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)

DOI10.1016/j.jalgebra.2017.06.033zbMath1425.17023OpenAlexW2738579611MaRDI QIDQ1682055

Yuta Watanabe

Publication date: 28 November 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.06.033

zbMATH Keywords

quantum affine algebraincidence algebrasubspace lattice

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Association schemes, strongly regular graphs (05E30) Representation theory of lattices (06B15)

Related Items (5)

An algebra associated with a flag in a subspace lattice over a finite field and the quantum affine algebra ⋮ The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and \(U_q(\mathrm{sl}_2)\) ⋮ The Clebsch-Gordan coefficients of \(U(\mathfrak{sl}_2)\) and the Terwilliger algebras of Johnson graphs ⋮ Association schemes on the Schubert cells of a Grassmannian ⋮ The Terwilliger algebra of the Grassmann scheme \(J_q(N,D)\) revisited from the viewpoint of the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)

Cites Work

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• The subconstituent algebra of an association scheme. I
• Quantum affine algebras
• Association schemes and t-designs in regular semilattices
• An addition theorem for some q-Hahn polynomials
• Introduction to Leonard pairs.
• The subconstituent algebra of a strongly regular graph

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