Canonical bases and new applications of increasing and decreasing subsequences to invariant theory

DOI10.1016/j.jalgebra.2024.06.026zbMATH Open1548.0533MaRDI QIDQ6612160

Stuart Martin, Stephen R. Doty, Christopher Bowman

Publication date: 30 September 2024

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

zbMATH Keywords

symmetric groupslongest increasing subsequencescentraliser algebrasRSK-correspondence

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Cites Work

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• KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
• An integral second fundamental theorem of invariant theory for partition algebras
• Schur–Weyl duality over commutative rings
• Structure of a Hecke algebra quotient

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