The combinatorics of \(\mathsf{A}_2\)-webs

zbMath1300.05316arXiv1312.1023MaRDI QIDQ405220

Soojin Cho, Dongho Moon, Georgia M. Benkart

Publication date: 4 September 2014

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

Full work available at URL: https://arxiv.org/abs/1312.1023

zbMATH Keywords

semistandard tableaux\(m\)-diagramsSpringer varieties

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10)

Related Items (1)

Tableau evacuation and webs

Cites Work

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• A simple bijection between standard \(3\times n\) tableaux and irreducible webs for \(\mathfrak{sl}_{3}\)
• Web bases for the general linear groups
• Promotion and cyclic sieving via webs
• The Robinson-Schensted correspondence and \(A_2\)-web bases
• Web bases for \(\text{sl}(3)\) are not dual canonical
• Some combinatorial properties of Schubert polynomials
• The patterns of permutations
• Spiders for rank 2 Lie algebras
• An explicit bijection between semistandard tableaux and non-elliptic \(sl _{3}\) webs

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