A combinatorial model for the transition matrix between the Specht and -web bases

DOI10.1017/fms.2023.79OpenAlexW3206502881MaRDI QIDQ6047008

Jaeseong Oh, Jihyeug Jang, Byung-Hak Hwang

Publication date: 6 October 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/fms.2023.79

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Cites Work

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• André permutation calculus: a twin Seidel matrix sequence
• André permutations, right-to-left and left-to-right minima
• Promotion and cyclic sieving via webs
• Interpretations combinatoires des nombres de Genocchi
• Flag \(f\)-vectors and the \(cd\)-index
• Spiders for rank 2 Lie algebras
• Transitioning between tableaux and spider bases for Specht modules
• On the homogenized linial arrangement: intersection lattice and Genocchi numbers
• A Survey of Alternating Permutations
• The invariant theory of binary forms
• The expansion of a chord diagram and the Genocchi numbers
• THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
• The Transition Matrix between the Specht and Web Bases Is Unipotent with Additional Vanishing Entries

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