An algebra associated with a flag in a subspace lattice over a finite field and the quantum affine algebra

zbMath1403.51007arXiv1709.06329MaRDI QIDQ1627207

Yuta Watanabe

Publication date: 22 November 2018

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06329

zbMATH Keywords

Young diagramquantum affine algebraincidence algebrasubspace lattice

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• Quantum affine algebras
• An addition theorem for some q-Hahn polynomials
• Bilinear forms over a finite field, with applications to coding theory
• An algebra associated with a subspace lattice over a finite field and its relation to the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)
• Introduction to Leonard pairs.

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