Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups

A Young subgroup of the symmetric group N, the permutation group of {1, 2, …, }, is generated by a subset of the adjacent transpositions {(, +1)∣1 ≤ < }. Such a group is realized as the stabilizer ₙ of a monomial λ (=λ¹₁λ²₂ ⋯ λᴺN) with λ = (ⁿ¹₁, ⁿ²₂, …, ⁿᵖₚ) (meaning ⱼ is repeated ⱼ times, 1...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Author: Dunkl, Charles F.
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/213523
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups. Charles F. Dunkl. SIGMA 21 (2025), 053, 17 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine